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Finding the Fourth Proportional to 854.32, 1,280.40 and 737.92

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Solution

The fourth proportional to 854.32, 1,280.40 and 737.92 is: 1,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.32 : 1,280.40 = 737.92 : x
  2. Step 2: Convert to fraction form
    854.32/1,280.40 = 737.92/x
  3. Step 3: Cross multiply
    854.32x = 1,280.40 × 737.92
  4. Step 4: Simplify right side
    854.32x = 944,832.77
  5. Step 5: Solve for x
    x = 944,832.77/854.32
  6. Step 6: Final answer
    x = 1,105.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.