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Finding the Fourth Proportional to 774.10, 1,161.15 and 711.70

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Solution

The fourth proportional to 774.10, 1,161.15 and 711.70 is: 1,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.10 : 1,161.15 = 711.70 : x
  2. Step 2: Convert to fraction form
    774.10/1,161.15 = 711.70/x
  3. Step 3: Cross multiply
    774.10x = 1,161.15 × 711.70
  4. Step 4: Simplify right side
    774.10x = 826,390.46
  5. Step 5: Solve for x
    x = 826,390.46/774.10
  6. Step 6: Final answer
    x = 1,067.55

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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.