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Finding the Fourth Proportional to 927.78, 1,280.10 and 534.69

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Solution

The fourth proportional to 927.78, 1,280.10 and 534.69 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,280.10 = 534.69 : x
  2. Step 2: Convert to fraction form
    927.78/1,280.10 = 534.69/x
  3. Step 3: Cross multiply
    927.78x = 1,280.10 × 534.69
  4. Step 4: Simplify right side
    927.78x = 684,456.67
  5. Step 5: Solve for x
    x = 684,456.67/927.78
  6. Step 6: Final answer
    x = 737.74

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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.