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Finding the Fourth Proportional to 773.70, 1,160.33 and 280.04

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Solution

The fourth proportional to 773.70, 1,160.33 and 280.04 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.70 : 1,160.33 = 280.04 : x
  2. Step 2: Convert to fraction form
    773.70/1,160.33 = 280.04/x
  3. Step 3: Cross multiply
    773.70x = 1,160.33 × 280.04
  4. Step 4: Simplify right side
    773.70x = 324,931.61
  5. Step 5: Solve for x
    x = 324,931.61/773.70
  6. Step 6: Final answer
    x = 419.97

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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.