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Finding the Fourth Proportional to 1,108.11, 1,669.79 and 917.40

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Solution

The fourth proportional to 1,108.11, 1,669.79 and 917.40 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.11 : 1,669.79 = 917.40 : x
  2. Step 2: Convert to fraction form
    1,108.11/1,669.79 = 917.40/x
  3. Step 3: Cross multiply
    1,108.11x = 1,669.79 × 917.40
  4. Step 4: Simplify right side
    1,108.11x = 1,531,873.90
  5. Step 5: Solve for x
    x = 1,531,873.90/1,108.11
  6. Step 6: Final answer
    x = 1,382.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.