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Finding the Fourth Proportional to 1,119.35, 1,545.43 and 1,049.64

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Solution

The fourth proportional to 1,119.35, 1,545.43 and 1,049.64 is: 1,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.35 : 1,545.43 = 1,049.64 : x
  2. Step 2: Convert to fraction form
    1,119.35/1,545.43 = 1,049.64/x
  3. Step 3: Cross multiply
    1,119.35x = 1,545.43 × 1,049.64
  4. Step 4: Simplify right side
    1,119.35x = 1,622,147.39
  5. Step 5: Solve for x
    x = 1,622,147.39/1,119.35
  6. Step 6: Final answer
    x = 1,449.18

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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.