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Finding the Fourth Proportional to 1,078.72, 1,615.17 and 748.98

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Solution

The fourth proportional to 1,078.72, 1,615.17 and 748.98 is: 1,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.72 : 1,615.17 = 748.98 : x
  2. Step 2: Convert to fraction form
    1,078.72/1,615.17 = 748.98/x
  3. Step 3: Cross multiply
    1,078.72x = 1,615.17 × 748.98
  4. Step 4: Simplify right side
    1,078.72x = 1,209,732.84
  5. Step 5: Solve for x
    x = 1,209,732.84/1,078.72
  6. Step 6: Final answer
    x = 1,121.45

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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.