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Finding the Fourth Proportional to 776.98, 1,165.49 and 229.17

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Solution

The fourth proportional to 776.98, 1,165.49 and 229.17 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.98 : 1,165.49 = 229.17 : x
  2. Step 2: Convert to fraction form
    776.98/1,165.49 = 229.17/x
  3. Step 3: Cross multiply
    776.98x = 1,165.49 × 229.17
  4. Step 4: Simplify right side
    776.98x = 267,097.11
  5. Step 5: Solve for x
    x = 267,097.11/776.98
  6. Step 6: Final answer
    x = 343.76

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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.