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Finding the Fourth Proportional to 1,123.22, 1,682.22 and 660.08

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Solution

The fourth proportional to 1,123.22, 1,682.22 and 660.08 is: 988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.22 : 1,682.22 = 660.08 : x
  2. Step 2: Convert to fraction form
    1,123.22/1,682.22 = 660.08/x
  3. Step 3: Cross multiply
    1,123.22x = 1,682.22 × 660.08
  4. Step 4: Simplify right side
    1,123.22x = 1,110,399.78
  5. Step 5: Solve for x
    x = 1,110,399.78/1,123.22
  6. Step 6: Final answer
    x = 988.59

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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.