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Finding the Fourth Proportional to 1,146.05, 1,581.00 and 747.54

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Solution

The fourth proportional to 1,146.05, 1,581.00 and 747.54 is: 1,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.05 : 1,581.00 = 747.54 : x
  2. Step 2: Convert to fraction form
    1,146.05/1,581.00 = 747.54/x
  3. Step 3: Cross multiply
    1,146.05x = 1,581.00 × 747.54
  4. Step 4: Simplify right side
    1,146.05x = 1,181,854.24
  5. Step 5: Solve for x
    x = 1,181,854.24/1,146.05
  6. Step 6: Final answer
    x = 1,031.24

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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.