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Finding the Fourth Proportional to 752.65, 1,038.62 and 421.13

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Solution

The fourth proportional to 752.65, 1,038.62 and 421.13 is: 581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.65 : 1,038.62 = 421.13 : x
  2. Step 2: Convert to fraction form
    752.65/1,038.62 = 421.13/x
  3. Step 3: Cross multiply
    752.65x = 1,038.62 × 421.13
  4. Step 4: Simplify right side
    752.65x = 437,397.69
  5. Step 5: Solve for x
    x = 437,397.69/752.65
  6. Step 6: Final answer
    x = 581.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.