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Finding the Fourth Proportional to 932.30, 1,286.69 and 559.49

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Solution

The fourth proportional to 932.30, 1,286.69 and 559.49 is: 772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.30 : 1,286.69 = 559.49 : x
  2. Step 2: Convert to fraction form
    932.30/1,286.69 = 559.49/x
  3. Step 3: Cross multiply
    932.30x = 1,286.69 × 559.49
  4. Step 4: Simplify right side
    932.30x = 719,880.96
  5. Step 5: Solve for x
    x = 719,880.96/932.30
  6. Step 6: Final answer
    x = 772.16

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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.