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Finding the Fourth Proportional to 932.14, 1,286.39 and 512.53

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Solution

The fourth proportional to 932.14, 1,286.39 and 512.53 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.14 : 1,286.39 = 512.53 : x
  2. Step 2: Convert to fraction form
    932.14/1,286.39 = 512.53/x
  3. Step 3: Cross multiply
    932.14x = 1,286.39 × 512.53
  4. Step 4: Simplify right side
    932.14x = 659,313.47
  5. Step 5: Solve for x
    x = 659,313.47/932.14
  6. Step 6: Final answer
    x = 707.31

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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.