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Finding the Fourth Proportional to 932.04, 1,286.19 and 559.23

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Solution

The fourth proportional to 932.04, 1,286.19 and 559.23 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.04 : 1,286.19 = 559.23 : x
  2. Step 2: Convert to fraction form
    932.04/1,286.19 = 559.23/x
  3. Step 3: Cross multiply
    932.04x = 1,286.19 × 559.23
  4. Step 4: Simplify right side
    932.04x = 719,276.03
  5. Step 5: Solve for x
    x = 719,276.03/932.04
  6. Step 6: Final answer
    x = 771.72

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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.