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Finding the Fourth Proportional to 772.70, 1,159.32 and 408.20

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Solution

The fourth proportional to 772.70, 1,159.32 and 408.20 is: 612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.70 : 1,159.32 = 408.20 : x
  2. Step 2: Convert to fraction form
    772.70/1,159.32 = 408.20/x
  3. Step 3: Cross multiply
    772.70x = 1,159.32 × 408.20
  4. Step 4: Simplify right side
    772.70x = 473,234.42
  5. Step 5: Solve for x
    x = 473,234.42/772.70
  6. Step 6: Final answer
    x = 612.44

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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.