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Finding the Fourth Proportional to 1,504.10, 2,255.06 and 724.26

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Solution

The fourth proportional to 1,504.10, 2,255.06 and 724.26 is: 1,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.10 : 2,255.06 = 724.26 : x
  2. Step 2: Convert to fraction form
    1,504.10/2,255.06 = 724.26/x
  3. Step 3: Cross multiply
    1,504.10x = 2,255.06 × 724.26
  4. Step 4: Simplify right side
    1,504.10x = 1,633,249.76
  5. Step 5: Solve for x
    x = 1,633,249.76/1,504.10
  6. Step 6: Final answer
    x = 1,085.87

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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.