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Finding the Fourth Proportional to 932.53, 1,286.93 and 512.93

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Solution

The fourth proportional to 932.53, 1,286.93 and 512.93 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.53 : 1,286.93 = 512.93 : x
  2. Step 2: Convert to fraction form
    932.53/1,286.93 = 512.93/x
  3. Step 3: Cross multiply
    932.53x = 1,286.93 × 512.93
  4. Step 4: Simplify right side
    932.53x = 660,105.00
  5. Step 5: Solve for x
    x = 660,105.00/932.53
  6. Step 6: Final answer
    x = 707.86

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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.