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Finding the Fourth Proportional to 932.20, 1,285.96 and 559

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Solution

The fourth proportional to 932.20, 1,285.96 and 559 is: 771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.20 : 1,285.96 = 559 : x
  2. Step 2: Convert to fraction form
    932.20/1,285.96 = 559/x
  3. Step 3: Cross multiply
    932.20x = 1,285.96 × 559
  4. Step 4: Simplify right side
    932.20x = 718,851.64
  5. Step 5: Solve for x
    x = 718,851.64/932.20
  6. Step 6: Final answer
    x = 771.13

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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.