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Finding the Fourth Proportional to 767.89, 1,151.19 and 657.76

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Solution

The fourth proportional to 767.89, 1,151.19 and 657.76 is: 986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.89 : 1,151.19 = 657.76 : x
  2. Step 2: Convert to fraction form
    767.89/1,151.19 = 657.76/x
  3. Step 3: Cross multiply
    767.89x = 1,151.19 × 657.76
  4. Step 4: Simplify right side
    767.89x = 757,206.73
  5. Step 5: Solve for x
    x = 757,206.73/767.89
  6. Step 6: Final answer
    x = 986.09

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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.