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Finding the Fourth Proportional to 774.20, 1,068.41 and 442.66

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Solution

The fourth proportional to 774.20, 1,068.41 and 442.66 is: 610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,068.41 = 442.66 : x
  2. Step 2: Convert to fraction form
    774.20/1,068.41 = 442.66/x
  3. Step 3: Cross multiply
    774.20x = 1,068.41 × 442.66
  4. Step 4: Simplify right side
    774.20x = 472,940.81
  5. Step 5: Solve for x
    x = 472,940.81/774.20
  6. Step 6: Final answer
    x = 610.87

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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.