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Finding the Fourth Proportional to 1,687.12, 2,531.55 and 713.90

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Solution

The fourth proportional to 1,687.12, 2,531.55 and 713.90 is: 1,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.12 : 2,531.55 = 713.90 : x
  2. Step 2: Convert to fraction form
    1,687.12/2,531.55 = 713.90/x
  3. Step 3: Cross multiply
    1,687.12x = 2,531.55 × 713.90
  4. Step 4: Simplify right side
    1,687.12x = 1,807,273.55
  5. Step 5: Solve for x
    x = 1,807,273.55/1,687.12
  6. Step 6: Final answer
    x = 1,071.22

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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.