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Finding the Fourth Proportional to 932.35, 1,286.63 and 512.72

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Solution

The fourth proportional to 932.35, 1,286.63 and 512.72 is: 707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.35 : 1,286.63 = 512.72 : x
  2. Step 2: Convert to fraction form
    932.35/1,286.63 = 512.72/x
  3. Step 3: Cross multiply
    932.35x = 1,286.63 × 512.72
  4. Step 4: Simplify right side
    932.35x = 659,680.93
  5. Step 5: Solve for x
    x = 659,680.93/932.35
  6. Step 6: Final answer
    x = 707.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.