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Finding the Fourth Proportional to 932.87, 1,286.65 and 876.17

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Solution

The fourth proportional to 932.87, 1,286.65 and 876.17 is: 1,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.87 : 1,286.65 = 876.17 : x
  2. Step 2: Convert to fraction form
    932.87/1,286.65 = 876.17/x
  3. Step 3: Cross multiply
    932.87x = 1,286.65 × 876.17
  4. Step 4: Simplify right side
    932.87x = 1,127,324.13
  5. Step 5: Solve for x
    x = 1,127,324.13/932.87
  6. Step 6: Final answer
    x = 1,208.45

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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.