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Finding the Fourth Proportional to 1,103.69, 1,523.08 and 661.59

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Solution

The fourth proportional to 1,103.69, 1,523.08 and 661.59 is: 912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.69 : 1,523.08 = 661.59 : x
  2. Step 2: Convert to fraction form
    1,103.69/1,523.08 = 661.59/x
  3. Step 3: Cross multiply
    1,103.69x = 1,523.08 × 661.59
  4. Step 4: Simplify right side
    1,103.69x = 1,007,654.50
  5. Step 5: Solve for x
    x = 1,007,654.50/1,103.69
  6. Step 6: Final answer
    x = 912.99

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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.