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Finding the Fourth Proportional to 925.74, 1,272.18 and 882.91

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Solution

The fourth proportional to 925.74, 1,272.18 and 882.91 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.74 : 1,272.18 = 882.91 : x
  2. Step 2: Convert to fraction form
    925.74/1,272.18 = 882.91/x
  3. Step 3: Cross multiply
    925.74x = 1,272.18 × 882.91
  4. Step 4: Simplify right side
    925.74x = 1,123,220.44
  5. Step 5: Solve for x
    x = 1,123,220.44/925.74
  6. Step 6: Final answer
    x = 1,213.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.