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Finding the Fourth Proportional to 1,105.77, 1,516.86 and 1,046.18

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Solution

The fourth proportional to 1,105.77, 1,516.86 and 1,046.18 is: 1,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.77 : 1,516.86 = 1,046.18 : x
  2. Step 2: Convert to fraction form
    1,105.77/1,516.86 = 1,046.18/x
  3. Step 3: Cross multiply
    1,105.77x = 1,516.86 × 1,046.18
  4. Step 4: Simplify right side
    1,105.77x = 1,586,901.01
  5. Step 5: Solve for x
    x = 1,586,901.01/1,105.77
  6. Step 6: Final answer
    x = 1,435.11

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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.