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Finding the Fourth Proportional to 932.24, 1,286.50 and 512.59

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Solution

The fourth proportional to 932.24, 1,286.50 and 512.59 is: 707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,286.50 = 512.59 : x
  2. Step 2: Convert to fraction form
    932.24/1,286.50 = 512.59/x
  3. Step 3: Cross multiply
    932.24x = 1,286.50 × 512.59
  4. Step 4: Simplify right side
    932.24x = 659,443.37
  5. Step 5: Solve for x
    x = 659,443.37/932.24
  6. Step 6: Final answer
    x = 707.37

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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.