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Finding the Fourth Proportional to 1,105.22, 1,650.55 and 886.16

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Solution

The fourth proportional to 1,105.22, 1,650.55 and 886.16 is: 1,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.22 : 1,650.55 = 886.16 : x
  2. Step 2: Convert to fraction form
    1,105.22/1,650.55 = 886.16/x
  3. Step 3: Cross multiply
    1,105.22x = 1,650.55 × 886.16
  4. Step 4: Simplify right side
    1,105.22x = 1,462,653.30
  5. Step 5: Solve for x
    x = 1,462,653.30/1,105.22
  6. Step 6: Final answer
    x = 1,323.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.