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Finding the Fourth Proportional to 932.36, 1,287.56 and 844.88

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Solution

The fourth proportional to 932.36, 1,287.56 and 844.88 is: 1,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.36 : 1,287.56 = 844.88 : x
  2. Step 2: Convert to fraction form
    932.36/1,287.56 = 844.88/x
  3. Step 3: Cross multiply
    932.36x = 1,287.56 × 844.88
  4. Step 4: Simplify right side
    932.36x = 1,087,833.69
  5. Step 5: Solve for x
    x = 1,087,833.69/932.36
  6. Step 6: Final answer
    x = 1,166.75

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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.