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Finding the Fourth Proportional to 932.90, 1,287.83 and 539.84

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Solution

The fourth proportional to 932.90, 1,287.83 and 539.84 is: 745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.90 : 1,287.83 = 539.84 : x
  2. Step 2: Convert to fraction form
    932.90/1,287.83 = 539.84/x
  3. Step 3: Cross multiply
    932.90x = 1,287.83 × 539.84
  4. Step 4: Simplify right side
    932.90x = 695,226.72
  5. Step 5: Solve for x
    x = 695,226.72/932.90
  6. Step 6: Final answer
    x = 745.24

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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.