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Finding the Fourth Proportional to 1,310.26, 1,966.25 and 488.54

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Solution

The fourth proportional to 1,310.26, 1,966.25 and 488.54 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.26 : 1,966.25 = 488.54 : x
  2. Step 2: Convert to fraction form
    1,310.26/1,966.25 = 488.54/x
  3. Step 3: Cross multiply
    1,310.26x = 1,966.25 × 488.54
  4. Step 4: Simplify right side
    1,310.26x = 960,591.78
  5. Step 5: Solve for x
    x = 960,591.78/1,310.26
  6. Step 6: Final answer
    x = 733.13

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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.