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Finding the Fourth Proportional to 1,247.11, 1,720.78 and 749.75

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Solution

The fourth proportional to 1,247.11, 1,720.78 and 749.75 is: 1,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.11 : 1,720.78 = 749.75 : x
  2. Step 2: Convert to fraction form
    1,247.11/1,720.78 = 749.75/x
  3. Step 3: Cross multiply
    1,247.11x = 1,720.78 × 749.75
  4. Step 4: Simplify right side
    1,247.11x = 1,290,155.36
  5. Step 5: Solve for x
    x = 1,290,155.36/1,247.11
  6. Step 6: Final answer
    x = 1,034.52

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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.