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Finding the Fourth Proportional to 1,249.31, 1,724.06 and 718.26

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Solution

The fourth proportional to 1,249.31, 1,724.06 and 718.26 is: 991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.31 : 1,724.06 = 718.26 : x
  2. Step 2: Convert to fraction form
    1,249.31/1,724.06 = 718.26/x
  3. Step 3: Cross multiply
    1,249.31x = 1,724.06 × 718.26
  4. Step 4: Simplify right side
    1,249.31x = 1,238,319.74
  5. Step 5: Solve for x
    x = 1,238,319.74/1,249.31
  6. Step 6: Final answer
    x = 991.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.