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Finding the Fourth Proportional to 927.08, 1,279.49 and 534.10

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Solution

The fourth proportional to 927.08, 1,279.49 and 534.10 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.08 : 1,279.49 = 534.10 : x
  2. Step 2: Convert to fraction form
    927.08/1,279.49 = 534.10/x
  3. Step 3: Cross multiply
    927.08x = 1,279.49 × 534.10
  4. Step 4: Simplify right side
    927.08x = 683,375.61
  5. Step 5: Solve for x
    x = 683,375.61/927.08
  6. Step 6: Final answer
    x = 737.13

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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.