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Finding the Fourth Proportional to 1,338.80, 2,006.51 and 721.24

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Solution

The fourth proportional to 1,338.80, 2,006.51 and 721.24 is: 1,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.80 : 2,006.51 = 721.24 : x
  2. Step 2: Convert to fraction form
    1,338.80/2,006.51 = 721.24/x
  3. Step 3: Cross multiply
    1,338.80x = 2,006.51 × 721.24
  4. Step 4: Simplify right side
    1,338.80x = 1,447,166.65
  5. Step 5: Solve for x
    x = 1,447,166.65/1,338.80
  6. Step 6: Final answer
    x = 1,080.95

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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.