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Finding the Fourth Proportional to 932.42, 1,286.74 and 512.78

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Solution

The fourth proportional to 932.42, 1,286.74 and 512.78 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.42 : 1,286.74 = 512.78 : x
  2. Step 2: Convert to fraction form
    932.42/1,286.74 = 512.78/x
  3. Step 3: Cross multiply
    932.42x = 1,286.74 × 512.78
  4. Step 4: Simplify right side
    932.42x = 659,811.97
  5. Step 5: Solve for x
    x = 659,811.97/932.42
  6. Step 6: Final answer
    x = 707.64

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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.