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Finding the Fourth Proportional to 1,123.62, 1,550.75 and 704.09

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Solution

The fourth proportional to 1,123.62, 1,550.75 and 704.09 is: 971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.62 : 1,550.75 = 704.09 : x
  2. Step 2: Convert to fraction form
    1,123.62/1,550.75 = 704.09/x
  3. Step 3: Cross multiply
    1,123.62x = 1,550.75 × 704.09
  4. Step 4: Simplify right side
    1,123.62x = 1,091,856.29
  5. Step 5: Solve for x
    x = 1,091,856.29/1,123.62
  6. Step 6: Final answer
    x = 971.73

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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.