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Finding the Fourth Proportional to 864.73, 1,297.17 and 377.83

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Solution

The fourth proportional to 864.73, 1,297.17 and 377.83 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.73 : 1,297.17 = 377.83 : x
  2. Step 2: Convert to fraction form
    864.73/1,297.17 = 377.83/x
  3. Step 3: Cross multiply
    864.73x = 1,297.17 × 377.83
  4. Step 4: Simplify right side
    864.73x = 490,109.74
  5. Step 5: Solve for x
    x = 490,109.74/864.73
  6. Step 6: Final answer
    x = 566.78

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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.