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Finding the Fourth Proportional to 1,411.25, 2,115.99 and 486.73

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Solution

The fourth proportional to 1,411.25, 2,115.99 and 486.73 is: 729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.25 : 2,115.99 = 486.73 : x
  2. Step 2: Convert to fraction form
    1,411.25/2,115.99 = 486.73/x
  3. Step 3: Cross multiply
    1,411.25x = 2,115.99 × 486.73
  4. Step 4: Simplify right side
    1,411.25x = 1,029,915.81
  5. Step 5: Solve for x
    x = 1,029,915.81/1,411.25
  6. Step 6: Final answer
    x = 729.79

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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.