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Finding the Fourth Proportional to 1,387.38, 2,080.69 and 684.25

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Solution

The fourth proportional to 1,387.38, 2,080.69 and 684.25 is: 1,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.38 : 2,080.69 = 684.25 : x
  2. Step 2: Convert to fraction form
    1,387.38/2,080.69 = 684.25/x
  3. Step 3: Cross multiply
    1,387.38x = 2,080.69 × 684.25
  4. Step 4: Simplify right side
    1,387.38x = 1,423,705.22
  5. Step 5: Solve for x
    x = 1,423,705.22/1,387.38
  6. Step 6: Final answer
    x = 1,026.18

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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.