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Finding the Fourth Proportional to 932.45, 1,286.38 and 559.31

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Solution

The fourth proportional to 932.45, 1,286.38 and 559.31 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.45 : 1,286.38 = 559.31 : x
  2. Step 2: Convert to fraction form
    932.45/1,286.38 = 559.31/x
  3. Step 3: Cross multiply
    932.45x = 1,286.38 × 559.31
  4. Step 4: Simplify right side
    932.45x = 719,479.47
  5. Step 5: Solve for x
    x = 719,479.47/932.45
  6. Step 6: Final answer
    x = 771.61

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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.