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Finding the Fourth Proportional to 927.79, 1,280.46 and 534.85

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Solution

The fourth proportional to 927.79, 1,280.46 and 534.85 is: 738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.79 : 1,280.46 = 534.85 : x
  2. Step 2: Convert to fraction form
    927.79/1,280.46 = 534.85/x
  3. Step 3: Cross multiply
    927.79x = 1,280.46 × 534.85
  4. Step 4: Simplify right side
    927.79x = 684,854.03
  5. Step 5: Solve for x
    x = 684,854.03/927.79
  6. Step 6: Final answer
    x = 738.16

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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.