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Finding the Fourth Proportional to 927.30, 1,279.64 and 534.54

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Solution

The fourth proportional to 927.30, 1,279.64 and 534.54 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.30 : 1,279.64 = 534.54 : x
  2. Step 2: Convert to fraction form
    927.30/1,279.64 = 534.54/x
  3. Step 3: Cross multiply
    927.30x = 1,279.64 × 534.54
  4. Step 4: Simplify right side
    927.30x = 684,016.09
  5. Step 5: Solve for x
    x = 684,016.09/927.30
  6. Step 6: Final answer
    x = 737.64

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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.