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Finding the Fourth Proportional to 1,387.19, 2,080.78 and 347.19

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Solution

The fourth proportional to 1,387.19, 2,080.78 and 347.19 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.19 : 2,080.78 = 347.19 : x
  2. Step 2: Convert to fraction form
    1,387.19/2,080.78 = 347.19/x
  3. Step 3: Cross multiply
    1,387.19x = 2,080.78 × 347.19
  4. Step 4: Simplify right side
    1,387.19x = 722,426.01
  5. Step 5: Solve for x
    x = 722,426.01/1,387.19
  6. Step 6: Final answer
    x = 520.78

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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.