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Finding the Fourth Proportional to 1,309.61, 1,962.59 and 724.88

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Solution

The fourth proportional to 1,309.61, 1,962.59 and 724.88 is: 1,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.61 : 1,962.59 = 724.88 : x
  2. Step 2: Convert to fraction form
    1,309.61/1,962.59 = 724.88/x
  3. Step 3: Cross multiply
    1,309.61x = 1,962.59 × 724.88
  4. Step 4: Simplify right side
    1,309.61x = 1,422,643.52
  5. Step 5: Solve for x
    x = 1,422,643.52/1,309.61
  6. Step 6: Final answer
    x = 1,086.31

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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.