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Finding the Fourth Proportional to 733.80, 1,101.51 and 580.71

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Solution

The fourth proportional to 733.80, 1,101.51 and 580.71 is: 871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,101.51 = 580.71 : x
  2. Step 2: Convert to fraction form
    733.80/1,101.51 = 580.71/x
  3. Step 3: Cross multiply
    733.80x = 1,101.51 × 580.71
  4. Step 4: Simplify right side
    733.80x = 639,657.87
  5. Step 5: Solve for x
    x = 639,657.87/733.80
  6. Step 6: Final answer
    x = 871.71

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