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Finding the Fourth Proportional to 772.02, 1,064.61 and 461.70

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Solution

The fourth proportional to 772.02, 1,064.61 and 461.70 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,064.61 = 461.70 : x
  2. Step 2: Convert to fraction form
    772.02/1,064.61 = 461.70/x
  3. Step 3: Cross multiply
    772.02x = 1,064.61 × 461.70
  4. Step 4: Simplify right side
    772.02x = 491,530.44
  5. Step 5: Solve for x
    x = 491,530.44/772.02
  6. Step 6: Final answer
    x = 636.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.