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Finding the Fourth Proportional to 772.06, 1,065.45 and 461.50

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Solution

The fourth proportional to 772.06, 1,065.45 and 461.50 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.06 : 1,065.45 = 461.50 : x
  2. Step 2: Convert to fraction form
    772.06/1,065.45 = 461.50/x
  3. Step 3: Cross multiply
    772.06x = 1,065.45 × 461.50
  4. Step 4: Simplify right side
    772.06x = 491,705.18
  5. Step 5: Solve for x
    x = 491,705.18/772.06
  6. Step 6: Final answer
    x = 636.87

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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.