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Finding the Fourth Proportional to 1,100.17, 1,650.54 and 811.11

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Solution

The fourth proportional to 1,100.17, 1,650.54 and 811.11 is: 1,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.17 : 1,650.54 = 811.11 : x
  2. Step 2: Convert to fraction form
    1,100.17/1,650.54 = 811.11/x
  3. Step 3: Cross multiply
    1,100.17x = 1,650.54 × 811.11
  4. Step 4: Simplify right side
    1,100.17x = 1,338,765.44
  5. Step 5: Solve for x
    x = 1,338,765.44/1,100.17
  6. Step 6: Final answer
    x = 1,216.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.