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Finding the Fourth Proportional to 1,100.86, 1,648.99 and 660.71

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Solution

The fourth proportional to 1,100.86, 1,648.99 and 660.71 is: 989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.86 : 1,648.99 = 660.71 : x
  2. Step 2: Convert to fraction form
    1,100.86/1,648.99 = 660.71/x
  3. Step 3: Cross multiply
    1,100.86x = 1,648.99 × 660.71
  4. Step 4: Simplify right side
    1,100.86x = 1,089,509.13
  5. Step 5: Solve for x
    x = 1,089,509.13/1,100.86
  6. Step 6: Final answer
    x = 989.69

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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.