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Finding the Fourth Proportional to 1,103.86, 1,523.27 and 661.54

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Solution

The fourth proportional to 1,103.86, 1,523.27 and 661.54 is: 912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.86 : 1,523.27 = 661.54 : x
  2. Step 2: Convert to fraction form
    1,103.86/1,523.27 = 661.54/x
  3. Step 3: Cross multiply
    1,103.86x = 1,523.27 × 661.54
  4. Step 4: Simplify right side
    1,103.86x = 1,007,700.73
  5. Step 5: Solve for x
    x = 1,007,700.73/1,103.86
  6. Step 6: Final answer
    x = 912.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.