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Finding the Fourth Proportional to 1,633, 2,447.88 and 765.76

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Solution

The fourth proportional to 1,633, 2,447.88 and 765.76 is: 1,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633 : 2,447.88 = 765.76 : x
  2. Step 2: Convert to fraction form
    1,633/2,447.88 = 765.76/x
  3. Step 3: Cross multiply
    1,633x = 2,447.88 × 765.76
  4. Step 4: Simplify right side
    1,633x = 1,874,488.59
  5. Step 5: Solve for x
    x = 1,874,488.59/1,633
  6. Step 6: Final answer
    x = 1,147.88

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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.