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Finding the Fourth Proportional to 772.52, 1,158.46 and 406.44

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Solution

The fourth proportional to 772.52, 1,158.46 and 406.44 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,158.46 = 406.44 : x
  2. Step 2: Convert to fraction form
    772.52/1,158.46 = 406.44/x
  3. Step 3: Cross multiply
    772.52x = 1,158.46 × 406.44
  4. Step 4: Simplify right side
    772.52x = 470,844.48
  5. Step 5: Solve for x
    x = 470,844.48/772.52
  6. Step 6: Final answer
    x = 609.49

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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.