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Finding the Fourth Proportional to 1,635.48, 2,449.98 and 768.78

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Solution

The fourth proportional to 1,635.48, 2,449.98 and 768.78 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.48 : 2,449.98 = 768.78 : x
  2. Step 2: Convert to fraction form
    1,635.48/2,449.98 = 768.78/x
  3. Step 3: Cross multiply
    1,635.48x = 2,449.98 × 768.78
  4. Step 4: Simplify right side
    1,635.48x = 1,883,495.62
  5. Step 5: Solve for x
    x = 1,883,495.62/1,635.48
  6. Step 6: Final answer
    x = 1,151.65

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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.