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Finding the Fourth Proportional to 1,100.01, 1,649.54 and 552.09

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Solution

The fourth proportional to 1,100.01, 1,649.54 and 552.09 is: 827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.01 : 1,649.54 = 552.09 : x
  2. Step 2: Convert to fraction form
    1,100.01/1,649.54 = 552.09/x
  3. Step 3: Cross multiply
    1,100.01x = 1,649.54 × 552.09
  4. Step 4: Simplify right side
    1,100.01x = 910,691.78
  5. Step 5: Solve for x
    x = 910,691.78/1,100.01
  6. Step 6: Final answer
    x = 827.89

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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.