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Finding the Fourth Proportional to 774.71, 1,162.12 and 281.41

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Solution

The fourth proportional to 774.71, 1,162.12 and 281.41 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.71 : 1,162.12 = 281.41 : x
  2. Step 2: Convert to fraction form
    774.71/1,162.12 = 281.41/x
  3. Step 3: Cross multiply
    774.71x = 1,162.12 × 281.41
  4. Step 4: Simplify right side
    774.71x = 327,032.19
  5. Step 5: Solve for x
    x = 327,032.19/774.71
  6. Step 6: Final answer
    x = 422.13

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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.