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Finding the Fourth Proportional to 772.74, 1,066.04 and 523.97

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Solution

The fourth proportional to 772.74, 1,066.04 and 523.97 is: 722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.74 : 1,066.04 = 523.97 : x
  2. Step 2: Convert to fraction form
    772.74/1,066.04 = 523.97/x
  3. Step 3: Cross multiply
    772.74x = 1,066.04 × 523.97
  4. Step 4: Simplify right side
    772.74x = 558,572.98
  5. Step 5: Solve for x
    x = 558,572.98/772.74
  6. Step 6: Final answer
    x = 722.85

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