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Finding the Fourth Proportional to 927.44, 1,279.72 and 534.48

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Solution

The fourth proportional to 927.44, 1,279.72 and 534.48 is: 737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.44 : 1,279.72 = 534.48 : x
  2. Step 2: Convert to fraction form
    927.44/1,279.72 = 534.48/x
  3. Step 3: Cross multiply
    927.44x = 1,279.72 × 534.48
  4. Step 4: Simplify right side
    927.44x = 683,984.75
  5. Step 5: Solve for x
    x = 683,984.75/927.44
  6. Step 6: Final answer
    x = 737.50

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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.