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Finding the Fourth Proportional to 1,101.44, 1,652.16 and 451.46

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Solution

The fourth proportional to 1,101.44, 1,652.16 and 451.46 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.44 : 1,652.16 = 451.46 : x
  2. Step 2: Convert to fraction form
    1,101.44/1,652.16 = 451.46/x
  3. Step 3: Cross multiply
    1,101.44x = 1,652.16 × 451.46
  4. Step 4: Simplify right side
    1,101.44x = 745,884.15
  5. Step 5: Solve for x
    x = 745,884.15/1,101.44
  6. Step 6: Final answer
    x = 677.19

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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.