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Finding the Fourth Proportional to 1,375.53, 2,058.13 and 818.20

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Solution

The fourth proportional to 1,375.53, 2,058.13 and 818.20 is: 1,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.53 : 2,058.13 = 818.20 : x
  2. Step 2: Convert to fraction form
    1,375.53/2,058.13 = 818.20/x
  3. Step 3: Cross multiply
    1,375.53x = 2,058.13 × 818.20
  4. Step 4: Simplify right side
    1,375.53x = 1,683,961.97
  5. Step 5: Solve for x
    x = 1,683,961.97/1,375.53
  6. Step 6: Final answer
    x = 1,224.23

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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.