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Finding the Fourth Proportional to 927.37, 1,279.56 and 534.31

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Solution

The fourth proportional to 927.37, 1,279.56 and 534.31 is: 737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.37 : 1,279.56 = 534.31 : x
  2. Step 2: Convert to fraction form
    927.37/1,279.56 = 534.31/x
  3. Step 3: Cross multiply
    927.37x = 1,279.56 × 534.31
  4. Step 4: Simplify right side
    927.37x = 683,681.70
  5. Step 5: Solve for x
    x = 683,681.70/927.37
  6. Step 6: Final answer
    x = 737.23

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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.