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Finding the Fourth Proportional to 1,122.27, 1,685.83 and 917.34

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Solution

The fourth proportional to 1,122.27, 1,685.83 and 917.34 is: 1,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.27 : 1,685.83 = 917.34 : x
  2. Step 2: Convert to fraction form
    1,122.27/1,685.83 = 917.34/x
  3. Step 3: Cross multiply
    1,122.27x = 1,685.83 × 917.34
  4. Step 4: Simplify right side
    1,122.27x = 1,546,472.40
  5. Step 5: Solve for x
    x = 1,546,472.40/1,122.27
  6. Step 6: Final answer
    x = 1,377.99

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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.