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Finding the Fourth Proportional to 772.76, 1,065.87 and 523.97

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Solution

The fourth proportional to 772.76, 1,065.87 and 523.97 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.76 : 1,065.87 = 523.97 : x
  2. Step 2: Convert to fraction form
    772.76/1,065.87 = 523.97/x
  3. Step 3: Cross multiply
    772.76x = 1,065.87 × 523.97
  4. Step 4: Simplify right side
    772.76x = 558,483.90
  5. Step 5: Solve for x
    x = 558,483.90/772.76
  6. Step 6: Final answer
    x = 722.71

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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.