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Finding the Fourth Proportional to 1,213.38, 1,820.34 and 347.63

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Solution

The fourth proportional to 1,213.38, 1,820.34 and 347.63 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.38 : 1,820.34 = 347.63 : x
  2. Step 2: Convert to fraction form
    1,213.38/1,820.34 = 347.63/x
  3. Step 3: Cross multiply
    1,213.38x = 1,820.34 × 347.63
  4. Step 4: Simplify right side
    1,213.38x = 632,795.69
  5. Step 5: Solve for x
    x = 632,795.69/1,213.38
  6. Step 6: Final answer
    x = 521.51

Related Problems

Find fourth proportional to 606.69, 910.17 and 173.81
Half scale
Find fourth proportional to 2,426.76, 3,640.68 and 695.25
Double scale
Find fourth proportional to 1,214.38, 1,821.84 and 348.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.