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Finding the Fourth Proportional to 767.89, 1,059.96 and 758.17

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Solution

The fourth proportional to 767.89, 1,059.96 and 758.17 is: 1,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.89 : 1,059.96 = 758.17 : x
  2. Step 2: Convert to fraction form
    767.89/1,059.96 = 758.17/x
  3. Step 3: Cross multiply
    767.89x = 1,059.96 × 758.17
  4. Step 4: Simplify right side
    767.89x = 803,629.87
  5. Step 5: Solve for x
    x = 803,629.87/767.89
  6. Step 6: Final answer
    x = 1,046.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.