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Finding the Fourth Proportional to 932.58, 1,286.88 and 512.92

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Solution

The fourth proportional to 932.58, 1,286.88 and 512.92 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,286.88 = 512.92 : x
  2. Step 2: Convert to fraction form
    932.58/1,286.88 = 512.92/x
  3. Step 3: Cross multiply
    932.58x = 1,286.88 × 512.92
  4. Step 4: Simplify right side
    932.58x = 660,066.49
  5. Step 5: Solve for x
    x = 660,066.49/932.58
  6. Step 6: Final answer
    x = 707.79

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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.