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Finding the Fourth Proportional to 774.86, 1,162.18 and 287.84

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Solution

The fourth proportional to 774.86, 1,162.18 and 287.84 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,162.18 = 287.84 : x
  2. Step 2: Convert to fraction form
    774.86/1,162.18 = 287.84/x
  3. Step 3: Cross multiply
    774.86x = 1,162.18 × 287.84
  4. Step 4: Simplify right side
    774.86x = 334,525.88
  5. Step 5: Solve for x
    x = 334,525.88/774.86
  6. Step 6: Final answer
    x = 431.73

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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.