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Finding the Fourth Proportional to 765.98, 1,151.19 and 636.78

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Solution

The fourth proportional to 765.98, 1,151.19 and 636.78 is: 957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,151.19 = 636.78 : x
  2. Step 2: Convert to fraction form
    765.98/1,151.19 = 636.78/x
  3. Step 3: Cross multiply
    765.98x = 1,151.19 × 636.78
  4. Step 4: Simplify right side
    765.98x = 733,054.77
  5. Step 5: Solve for x
    x = 733,054.77/765.98
  6. Step 6: Final answer
    x = 957.02

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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.