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Finding the Fourth Proportional to 932.96, 1,287.44 and 539.92

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Solution

The fourth proportional to 932.96, 1,287.44 and 539.92 is: 745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.96 : 1,287.44 = 539.92 : x
  2. Step 2: Convert to fraction form
    932.96/1,287.44 = 539.92/x
  3. Step 3: Cross multiply
    932.96x = 1,287.44 × 539.92
  4. Step 4: Simplify right side
    932.96x = 695,114.60
  5. Step 5: Solve for x
    x = 695,114.60/932.96
  6. Step 6: Final answer
    x = 745.06

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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.