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Finding the Fourth Proportional to 1,105.47, 1,658.62 and 488.74

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Solution

The fourth proportional to 1,105.47, 1,658.62 and 488.74 is: 733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.47 : 1,658.62 = 488.74 : x
  2. Step 2: Convert to fraction form
    1,105.47/1,658.62 = 488.74/x
  3. Step 3: Cross multiply
    1,105.47x = 1,658.62 × 488.74
  4. Step 4: Simplify right side
    1,105.47x = 810,628.57
  5. Step 5: Solve for x
    x = 810,628.57/1,105.47
  6. Step 6: Final answer
    x = 733.29

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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.