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Finding the Fourth Proportional to 1,084.47, 1,613.70 and 1,080.83

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Solution

The fourth proportional to 1,084.47, 1,613.70 and 1,080.83 is: 1,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.47 : 1,613.70 = 1,080.83 : x
  2. Step 2: Convert to fraction form
    1,084.47/1,613.70 = 1,080.83/x
  3. Step 3: Cross multiply
    1,084.47x = 1,613.70 × 1,080.83
  4. Step 4: Simplify right side
    1,084.47x = 1,744,127.30
  5. Step 5: Solve for x
    x = 1,744,127.30/1,084.47
  6. Step 6: Final answer
    x = 1,608.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.