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Finding the Fourth Proportional to 777.39, 1,072.69 and 462.66

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Solution

The fourth proportional to 777.39, 1,072.69 and 462.66 is: 638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.39 : 1,072.69 = 462.66 : x
  2. Step 2: Convert to fraction form
    777.39/1,072.69 = 462.66/x
  3. Step 3: Cross multiply
    777.39x = 1,072.69 × 462.66
  4. Step 4: Simplify right side
    777.39x = 496,290.76
  5. Step 5: Solve for x
    x = 496,290.76/777.39
  6. Step 6: Final answer
    x = 638.41

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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.