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Finding the Fourth Proportional to 769.15, 1,151.29 and 549.07

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Solution

The fourth proportional to 769.15, 1,151.29 and 549.07 is: 821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.15 : 1,151.29 = 549.07 : x
  2. Step 2: Convert to fraction form
    769.15/1,151.29 = 549.07/x
  3. Step 3: Cross multiply
    769.15x = 1,151.29 × 549.07
  4. Step 4: Simplify right side
    769.15x = 632,138.80
  5. Step 5: Solve for x
    x = 632,138.80/769.15
  6. Step 6: Final answer
    x = 821.87

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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.