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Finding the Fourth Proportional to 774.34, 1,161.64 and 280.68

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Solution

The fourth proportional to 774.34, 1,161.64 and 280.68 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,161.64 = 280.68 : x
  2. Step 2: Convert to fraction form
    774.34/1,161.64 = 280.68/x
  3. Step 3: Cross multiply
    774.34x = 1,161.64 × 280.68
  4. Step 4: Simplify right side
    774.34x = 326,049.12
  5. Step 5: Solve for x
    x = 326,049.12/774.34
  6. Step 6: Final answer
    x = 421.07

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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.