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Finding the Fourth Proportional to 1,103.97, 1,523.67 and 661.89

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Solution

The fourth proportional to 1,103.97, 1,523.67 and 661.89 is: 913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.97 : 1,523.67 = 661.89 : x
  2. Step 2: Convert to fraction form
    1,103.97/1,523.67 = 661.89/x
  3. Step 3: Cross multiply
    1,103.97x = 1,523.67 × 661.89
  4. Step 4: Simplify right side
    1,103.97x = 1,008,501.94
  5. Step 5: Solve for x
    x = 1,008,501.94/1,103.97
  6. Step 6: Final answer
    x = 913.52

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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.