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Finding the Fourth Proportional to 932.31, 1,286.62 and 512.70

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Solution

The fourth proportional to 932.31, 1,286.62 and 512.70 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.31 : 1,286.62 = 512.70 : x
  2. Step 2: Convert to fraction form
    932.31/1,286.62 = 512.70/x
  3. Step 3: Cross multiply
    932.31x = 1,286.62 × 512.70
  4. Step 4: Simplify right side
    932.31x = 659,647.51
  5. Step 5: Solve for x
    x = 659,647.51/932.31
  6. Step 6: Final answer
    x = 707.54

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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.