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Finding the Fourth Proportional to 1,213.65, 1,820.43 and 347.94

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Solution

The fourth proportional to 1,213.65, 1,820.43 and 347.94 is: 521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.65 : 1,820.43 = 347.94 : x
  2. Step 2: Convert to fraction form
    1,213.65/1,820.43 = 347.94/x
  3. Step 3: Cross multiply
    1,213.65x = 1,820.43 × 347.94
  4. Step 4: Simplify right side
    1,213.65x = 633,400.41
  5. Step 5: Solve for x
    x = 633,400.41/1,213.65
  6. Step 6: Final answer
    x = 521.90

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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.