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Finding the Fourth Proportional to 772.26, 1,158.53 and 252.11

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Solution

The fourth proportional to 772.26, 1,158.53 and 252.11 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,158.53 = 252.11 : x
  2. Step 2: Convert to fraction form
    772.26/1,158.53 = 252.11/x
  3. Step 3: Cross multiply
    772.26x = 1,158.53 × 252.11
  4. Step 4: Simplify right side
    772.26x = 292,078.63
  5. Step 5: Solve for x
    x = 292,078.63/772.26
  6. Step 6: Final answer
    x = 378.21

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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.