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Finding the Fourth Proportional to 932.46, 1,286.86 and 559.50

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Solution

The fourth proportional to 932.46, 1,286.86 and 559.50 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.46 : 1,286.86 = 559.50 : x
  2. Step 2: Convert to fraction form
    932.46/1,286.86 = 559.50/x
  3. Step 3: Cross multiply
    932.46x = 1,286.86 × 559.50
  4. Step 4: Simplify right side
    932.46x = 719,998.17
  5. Step 5: Solve for x
    x = 719,998.17/932.46
  6. Step 6: Final answer
    x = 772.15

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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.