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Finding the Fourth Proportional to 754.31, 1,040.65 and 459.47

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Solution

The fourth proportional to 754.31, 1,040.65 and 459.47 is: 633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.31 : 1,040.65 = 459.47 : x
  2. Step 2: Convert to fraction form
    754.31/1,040.65 = 459.47/x
  3. Step 3: Cross multiply
    754.31x = 1,040.65 × 459.47
  4. Step 4: Simplify right side
    754.31x = 478,148.91
  5. Step 5: Solve for x
    x = 478,148.91/754.31
  6. Step 6: Final answer
    x = 633.89

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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.