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Finding the Fourth Proportional to 1,160.83, 1,738.06 and 748.95

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Solution

The fourth proportional to 1,160.83, 1,738.06 and 748.95 is: 1,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.83 : 1,738.06 = 748.95 : x
  2. Step 2: Convert to fraction form
    1,160.83/1,738.06 = 748.95/x
  3. Step 3: Cross multiply
    1,160.83x = 1,738.06 × 748.95
  4. Step 4: Simplify right side
    1,160.83x = 1,301,711.65
  5. Step 5: Solve for x
    x = 1,301,711.65/1,160.83
  6. Step 6: Final answer
    x = 1,121.36

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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.