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Finding the Fourth Proportional to 932.04, 1,286.26 and 512.41

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Solution

The fourth proportional to 932.04, 1,286.26 and 512.41 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.04 : 1,286.26 = 512.41 : x
  2. Step 2: Convert to fraction form
    932.04/1,286.26 = 512.41/x
  3. Step 3: Cross multiply
    932.04x = 1,286.26 × 512.41
  4. Step 4: Simplify right side
    932.04x = 659,087.99
  5. Step 5: Solve for x
    x = 659,087.99/932.04
  6. Step 6: Final answer
    x = 707.15

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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.