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Finding the Fourth Proportional to 772.10, 1,158.15 and 512.45

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Solution

The fourth proportional to 772.10, 1,158.15 and 512.45 is: 768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,158.15 = 512.45 : x
  2. Step 2: Convert to fraction form
    772.10/1,158.15 = 512.45/x
  3. Step 3: Cross multiply
    772.10x = 1,158.15 × 512.45
  4. Step 4: Simplify right side
    772.10x = 593,493.97
  5. Step 5: Solve for x
    x = 593,493.97/772.10
  6. Step 6: Final answer
    x = 768.68

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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.