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Finding the Fourth Proportional to 1,047.57, 1,445.16 and 748.83

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Solution

The fourth proportional to 1,047.57, 1,445.16 and 748.83 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.57 : 1,445.16 = 748.83 : x
  2. Step 2: Convert to fraction form
    1,047.57/1,445.16 = 748.83/x
  3. Step 3: Cross multiply
    1,047.57x = 1,445.16 × 748.83
  4. Step 4: Simplify right side
    1,047.57x = 1,082,179.16
  5. Step 5: Solve for x
    x = 1,082,179.16/1,047.57
  6. Step 6: Final answer
    x = 1,033.04

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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.