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Finding the Fourth Proportional to 774.19, 1,160.98 and 226.20

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Solution

The fourth proportional to 774.19, 1,160.98 and 226.20 is: 339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,160.98 = 226.20 : x
  2. Step 2: Convert to fraction form
    774.19/1,160.98 = 226.20/x
  3. Step 3: Cross multiply
    774.19x = 1,160.98 × 226.20
  4. Step 4: Simplify right side
    774.19x = 262,613.68
  5. Step 5: Solve for x
    x = 262,613.68/774.19
  6. Step 6: Final answer
    x = 339.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.