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Finding the Fourth Proportional to 1,105.70, 1,658.55 and 489.09

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Solution

The fourth proportional to 1,105.70, 1,658.55 and 489.09 is: 733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,658.55 = 489.09 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,658.55 = 489.09/x
  3. Step 3: Cross multiply
    1,105.70x = 1,658.55 × 489.09
  4. Step 4: Simplify right side
    1,105.70x = 811,180.22
  5. Step 5: Solve for x
    x = 811,180.22/1,105.70
  6. Step 6: Final answer
    x = 733.64

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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.