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Finding the Fourth Proportional to 1,387.75, 1,915.29 and 798.27

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Solution

The fourth proportional to 1,387.75, 1,915.29 and 798.27 is: 1,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.75 : 1,915.29 = 798.27 : x
  2. Step 2: Convert to fraction form
    1,387.75/1,915.29 = 798.27/x
  3. Step 3: Cross multiply
    1,387.75x = 1,915.29 × 798.27
  4. Step 4: Simplify right side
    1,387.75x = 1,528,918.55
  5. Step 5: Solve for x
    x = 1,528,918.55/1,387.75
  6. Step 6: Final answer
    x = 1,101.72

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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.