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Finding the Fourth Proportional to 777.97, 1,167.16 and 230.17

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Solution

The fourth proportional to 777.97, 1,167.16 and 230.17 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.97 : 1,167.16 = 230.17 : x
  2. Step 2: Convert to fraction form
    777.97/1,167.16 = 230.17/x
  3. Step 3: Cross multiply
    777.97x = 1,167.16 × 230.17
  4. Step 4: Simplify right side
    777.97x = 268,639.38
  5. Step 5: Solve for x
    x = 268,639.38/777.97
  6. Step 6: Final answer
    x = 345.31

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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.