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Finding the Fourth Proportional to 765.66, 1,149 and 491.95

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Solution

The fourth proportional to 765.66, 1,149 and 491.95 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.66 : 1,149 = 491.95 : x
  2. Step 2: Convert to fraction form
    765.66/1,149 = 491.95/x
  3. Step 3: Cross multiply
    765.66x = 1,149 × 491.95
  4. Step 4: Simplify right side
    765.66x = 565,247.68
  5. Step 5: Solve for x
    x = 565,247.68/765.66
  6. Step 6: Final answer
    x = 738.25

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