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Finding the Fourth Proportional to 1,105.17, 1,516.98 and 1,057.65

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Solution

The fourth proportional to 1,105.17, 1,516.98 and 1,057.65 is: 1,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.17 : 1,516.98 = 1,057.65 : x
  2. Step 2: Convert to fraction form
    1,105.17/1,516.98 = 1,057.65/x
  3. Step 3: Cross multiply
    1,105.17x = 1,516.98 × 1,057.65
  4. Step 4: Simplify right side
    1,105.17x = 1,604,433.90
  5. Step 5: Solve for x
    x = 1,604,433.90/1,105.17
  6. Step 6: Final answer
    x = 1,451.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.