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Finding the Fourth Proportional to 1,310.23, 1,963.55 and 724.36

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Solution

The fourth proportional to 1,310.23, 1,963.55 and 724.36 is: 1,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.23 : 1,963.55 = 724.36 : x
  2. Step 2: Convert to fraction form
    1,310.23/1,963.55 = 724.36/x
  3. Step 3: Cross multiply
    1,310.23x = 1,963.55 × 724.36
  4. Step 4: Simplify right side
    1,310.23x = 1,422,317.08
  5. Step 5: Solve for x
    x = 1,422,317.08/1,310.23
  6. Step 6: Final answer
    x = 1,085.55

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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.