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Finding the Fourth Proportional to 731.94, 1,010.14 and 437.20

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Solution

The fourth proportional to 731.94, 1,010.14 and 437.20 is: 603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.94 : 1,010.14 = 437.20 : x
  2. Step 2: Convert to fraction form
    731.94/1,010.14 = 437.20/x
  3. Step 3: Cross multiply
    731.94x = 1,010.14 × 437.20
  4. Step 4: Simplify right side
    731.94x = 441,629.59
  5. Step 5: Solve for x
    x = 441,629.59/731.94
  6. Step 6: Final answer
    x = 603.37

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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.