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Finding the Fourth Proportional to 1,388.75, 1,915.74 and 798.89

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Solution

The fourth proportional to 1,388.75, 1,915.74 and 798.89 is: 1,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.75 : 1,915.74 = 798.89 : x
  2. Step 2: Convert to fraction form
    1,388.75/1,915.74 = 798.89/x
  3. Step 3: Cross multiply
    1,388.75x = 1,915.74 × 798.89
  4. Step 4: Simplify right side
    1,388.75x = 1,530,455.95
  5. Step 5: Solve for x
    x = 1,530,455.95/1,388.75
  6. Step 6: Final answer
    x = 1,102.04

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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.