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Finding the Fourth Proportional to 932.70, 1,286.55 and 559.74

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Solution

The fourth proportional to 932.70, 1,286.55 and 559.74 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,286.55 = 559.74 : x
  2. Step 2: Convert to fraction form
    932.70/1,286.55 = 559.74/x
  3. Step 3: Cross multiply
    932.70x = 1,286.55 × 559.74
  4. Step 4: Simplify right side
    932.70x = 720,133.50
  5. Step 5: Solve for x
    x = 720,133.50/932.70
  6. Step 6: Final answer
    x = 772.10

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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.