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Finding the Fourth Proportional to 1,105.32, 1,658.67 and 618.69

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Solution

The fourth proportional to 1,105.32, 1,658.67 and 618.69 is: 928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.32 : 1,658.67 = 618.69 : x
  2. Step 2: Convert to fraction form
    1,105.32/1,658.67 = 618.69/x
  3. Step 3: Cross multiply
    1,105.32x = 1,658.67 × 618.69
  4. Step 4: Simplify right side
    1,105.32x = 1,026,202.54
  5. Step 5: Solve for x
    x = 1,026,202.54/1,105.32
  6. Step 6: Final answer
    x = 928.42

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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.