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Finding the Fourth Proportional to 932.68, 1,287.34 and 539.96

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Solution

The fourth proportional to 932.68, 1,287.34 and 539.96 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.68 : 1,287.34 = 539.96 : x
  2. Step 2: Convert to fraction form
    932.68/1,287.34 = 539.96/x
  3. Step 3: Cross multiply
    932.68x = 1,287.34 × 539.96
  4. Step 4: Simplify right side
    932.68x = 695,112.11
  5. Step 5: Solve for x
    x = 695,112.11/932.68
  6. Step 6: Final answer
    x = 745.28

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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.