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Finding the Fourth Proportional to 1,100.22, 1,648.75 and 661.65

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Solution

The fourth proportional to 1,100.22, 1,648.75 and 661.65 is: 991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.22 : 1,648.75 = 661.65 : x
  2. Step 2: Convert to fraction form
    1,100.22/1,648.75 = 661.65/x
  3. Step 3: Cross multiply
    1,100.22x = 1,648.75 × 661.65
  4. Step 4: Simplify right side
    1,100.22x = 1,090,895.44
  5. Step 5: Solve for x
    x = 1,090,895.44/1,100.22
  6. Step 6: Final answer
    x = 991.52

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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.