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Finding the Fourth Proportional to 1,191.38, 1,644.05 and 660.23

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Solution

The fourth proportional to 1,191.38, 1,644.05 and 660.23 is: 911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.38 : 1,644.05 = 660.23 : x
  2. Step 2: Convert to fraction form
    1,191.38/1,644.05 = 660.23/x
  3. Step 3: Cross multiply
    1,191.38x = 1,644.05 × 660.23
  4. Step 4: Simplify right side
    1,191.38x = 1,085,445.78
  5. Step 5: Solve for x
    x = 1,085,445.78/1,191.38
  6. Step 6: Final answer
    x = 911.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.