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Finding the Fourth Proportional to 774.41, 1,162.19 and 482.34

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Solution

The fourth proportional to 774.41, 1,162.19 and 482.34 is: 723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.41 : 1,162.19 = 482.34 : x
  2. Step 2: Convert to fraction form
    774.41/1,162.19 = 482.34/x
  3. Step 3: Cross multiply
    774.41x = 1,162.19 × 482.34
  4. Step 4: Simplify right side
    774.41x = 560,568.31
  5. Step 5: Solve for x
    x = 560,568.31/774.41
  6. Step 6: Final answer
    x = 723.87

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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.