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Finding the Fourth Proportional to 1,100.55, 1,648.52 and 660.40

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Solution

The fourth proportional to 1,100.55, 1,648.52 and 660.40 is: 989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.55 : 1,648.52 = 660.40 : x
  2. Step 2: Convert to fraction form
    1,100.55/1,648.52 = 660.40/x
  3. Step 3: Cross multiply
    1,100.55x = 1,648.52 × 660.40
  4. Step 4: Simplify right side
    1,100.55x = 1,088,684.26
  5. Step 5: Solve for x
    x = 1,088,684.26/1,100.55
  6. Step 6: Final answer
    x = 989.22

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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.