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Finding the Fourth Proportional to 1,108.52, 1,528.07 and 911.69

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Solution

The fourth proportional to 1,108.52, 1,528.07 and 911.69 is: 1,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.52 : 1,528.07 = 911.69 : x
  2. Step 2: Convert to fraction form
    1,108.52/1,528.07 = 911.69/x
  3. Step 3: Cross multiply
    1,108.52x = 1,528.07 × 911.69
  4. Step 4: Simplify right side
    1,108.52x = 1,393,120.78
  5. Step 5: Solve for x
    x = 1,393,120.78/1,108.52
  6. Step 6: Final answer
    x = 1,256.75

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