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Finding the Fourth Proportional to 774.29, 1,067.41 and 511.85

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Solution

The fourth proportional to 774.29, 1,067.41 and 511.85 is: 705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.29 : 1,067.41 = 511.85 : x
  2. Step 2: Convert to fraction form
    774.29/1,067.41 = 511.85/x
  3. Step 3: Cross multiply
    774.29x = 1,067.41 × 511.85
  4. Step 4: Simplify right side
    774.29x = 546,353.81
  5. Step 5: Solve for x
    x = 546,353.81/774.29
  6. Step 6: Final answer
    x = 705.62

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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.