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Finding the Fourth Proportional to 1,213.67, 1,820.13 and 774.30

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Solution

The fourth proportional to 1,213.67, 1,820.13 and 774.30 is: 1,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.67 : 1,820.13 = 774.30 : x
  2. Step 2: Convert to fraction form
    1,213.67/1,820.13 = 774.30/x
  3. Step 3: Cross multiply
    1,213.67x = 1,820.13 × 774.30
  4. Step 4: Simplify right side
    1,213.67x = 1,409,313.69
  5. Step 5: Solve for x
    x = 1,409,313.69/1,213.67
  6. Step 6: Final answer
    x = 1,161.20

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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.