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Finding the Fourth Proportional to 774.03, 1,161.30 and 311.70

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Solution

The fourth proportional to 774.03, 1,161.30 and 311.70 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.03 : 1,161.30 = 311.70 : x
  2. Step 2: Convert to fraction form
    774.03/1,161.30 = 311.70/x
  3. Step 3: Cross multiply
    774.03x = 1,161.30 × 311.70
  4. Step 4: Simplify right side
    774.03x = 361,977.21
  5. Step 5: Solve for x
    x = 361,977.21/774.03
  6. Step 6: Final answer
    x = 467.65

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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.