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Finding the Fourth Proportional to 932.36, 1,286.68 and 512.74

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Solution

The fourth proportional to 932.36, 1,286.68 and 512.74 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.36 : 1,286.68 = 512.74 : x
  2. Step 2: Convert to fraction form
    932.36/1,286.68 = 512.74/x
  3. Step 3: Cross multiply
    932.36x = 1,286.68 × 512.74
  4. Step 4: Simplify right side
    932.36x = 659,732.30
  5. Step 5: Solve for x
    x = 659,732.30/932.36
  6. Step 6: Final answer
    x = 707.59

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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.