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Finding the Fourth Proportional to 1,108.27, 1,526.82 and 911.44

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Solution

The fourth proportional to 1,108.27, 1,526.82 and 911.44 is: 1,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.27 : 1,526.82 = 911.44 : x
  2. Step 2: Convert to fraction form
    1,108.27/1,526.82 = 911.44/x
  3. Step 3: Cross multiply
    1,108.27x = 1,526.82 × 911.44
  4. Step 4: Simplify right side
    1,108.27x = 1,391,597.19
  5. Step 5: Solve for x
    x = 1,391,597.19/1,108.27
  6. Step 6: Final answer
    x = 1,255.65

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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.