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Finding the Fourth Proportional to 773, 1,067.65 and 523.89

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Solution

The fourth proportional to 773, 1,067.65 and 523.89 is: 723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    773 : 1,067.65 = 523.89 : x
  2. Step 2: Convert to fraction form
    773/1,067.65 = 523.89/x
  3. Step 3: Cross multiply
    773x = 1,067.65 × 523.89
  4. Step 4: Simplify right side
    773x = 559,331.16
  5. Step 5: Solve for x
    x = 559,331.16/773
  6. Step 6: Final answer
    x = 723.58

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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.