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Finding the Fourth Proportional to 774.42, 1,161.54 and 197.26

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Solution

The fourth proportional to 774.42, 1,161.54 and 197.26 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,161.54 = 197.26 : x
  2. Step 2: Convert to fraction form
    774.42/1,161.54 = 197.26/x
  3. Step 3: Cross multiply
    774.42x = 1,161.54 × 197.26
  4. Step 4: Simplify right side
    774.42x = 229,125.38
  5. Step 5: Solve for x
    x = 229,125.38/774.42
  6. Step 6: Final answer
    x = 295.87

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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.