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Finding the Fourth Proportional to 927.85, 1,280.12 and 534.87

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Solution

The fourth proportional to 927.85, 1,280.12 and 534.87 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.85 : 1,280.12 = 534.87 : x
  2. Step 2: Convert to fraction form
    927.85/1,280.12 = 534.87/x
  3. Step 3: Cross multiply
    927.85x = 1,280.12 × 534.87
  4. Step 4: Simplify right side
    927.85x = 684,697.78
  5. Step 5: Solve for x
    x = 684,697.78/927.85
  6. Step 6: Final answer
    x = 737.94

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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.