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Finding the Fourth Proportional to 932, 1,286.14 and 512.36

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Solution

The fourth proportional to 932, 1,286.14 and 512.36 is: 707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932 : 1,286.14 = 512.36 : x
  2. Step 2: Convert to fraction form
    932/1,286.14 = 512.36/x
  3. Step 3: Cross multiply
    932x = 1,286.14 × 512.36
  4. Step 4: Simplify right side
    932x = 658,966.69
  5. Step 5: Solve for x
    x = 658,966.69/932
  6. Step 6: Final answer
    x = 707.05

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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.