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Finding the Fourth Proportional to 932.07, 1,286.37 and 559.24

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Solution

The fourth proportional to 932.07, 1,286.37 and 559.24 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,286.37 = 559.24 : x
  2. Step 2: Convert to fraction form
    932.07/1,286.37 = 559.24/x
  3. Step 3: Cross multiply
    932.07x = 1,286.37 × 559.24
  4. Step 4: Simplify right side
    932.07x = 719,389.56
  5. Step 5: Solve for x
    x = 719,389.56/932.07
  6. Step 6: Final answer
    x = 771.82

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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.