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Finding the Fourth Proportional to 1,387.78, 1,915.23 and 798.55

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Solution

The fourth proportional to 1,387.78, 1,915.23 and 798.55 is: 1,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.78 : 1,915.23 = 798.55 : x
  2. Step 2: Convert to fraction form
    1,387.78/1,915.23 = 798.55/x
  3. Step 3: Cross multiply
    1,387.78x = 1,915.23 × 798.55
  4. Step 4: Simplify right side
    1,387.78x = 1,529,406.92
  5. Step 5: Solve for x
    x = 1,529,406.92/1,387.78
  6. Step 6: Final answer
    x = 1,102.05

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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.