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Finding the Fourth Proportional to 773.78, 1,066.28 and 552.11

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Solution

The fourth proportional to 773.78, 1,066.28 and 552.11 is: 760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.78 : 1,066.28 = 552.11 : x
  2. Step 2: Convert to fraction form
    773.78/1,066.28 = 552.11/x
  3. Step 3: Cross multiply
    773.78x = 1,066.28 × 552.11
  4. Step 4: Simplify right side
    773.78x = 588,695.76
  5. Step 5: Solve for x
    x = 588,695.76/773.78
  6. Step 6: Final answer
    x = 760.81

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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.