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Finding the Fourth Proportional to 777.56, 1,072.86 and 462.80

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Solution

The fourth proportional to 777.56, 1,072.86 and 462.80 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.56 : 1,072.86 = 462.80 : x
  2. Step 2: Convert to fraction form
    777.56/1,072.86 = 462.80/x
  3. Step 3: Cross multiply
    777.56x = 1,072.86 × 462.80
  4. Step 4: Simplify right side
    777.56x = 496,519.61
  5. Step 5: Solve for x
    x = 496,519.61/777.56
  6. Step 6: Final answer
    x = 638.56

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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.