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Finding the Fourth Proportional to 773.65, 1,067.65 and 437.57

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Solution

The fourth proportional to 773.65, 1,067.65 and 437.57 is: 603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.65 : 1,067.65 = 437.57 : x
  2. Step 2: Convert to fraction form
    773.65/1,067.65 = 437.57/x
  3. Step 3: Cross multiply
    773.65x = 1,067.65 × 437.57
  4. Step 4: Simplify right side
    773.65x = 467,171.61
  5. Step 5: Solve for x
    x = 467,171.61/773.65
  6. Step 6: Final answer
    x = 603.85

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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.