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Finding the Fourth Proportional to 1,310.21, 1,966.07 and 489.06

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Solution

The fourth proportional to 1,310.21, 1,966.07 and 489.06 is: 733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.21 : 1,966.07 = 489.06 : x
  2. Step 2: Convert to fraction form
    1,310.21/1,966.07 = 489.06/x
  3. Step 3: Cross multiply
    1,310.21x = 1,966.07 × 489.06
  4. Step 4: Simplify right side
    1,310.21x = 961,523.75
  5. Step 5: Solve for x
    x = 961,523.75/1,310.21
  6. Step 6: Final answer
    x = 733.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.