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Finding the Fourth Proportional to 762.38, 1,052.12 and 447.66

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Solution

The fourth proportional to 762.38, 1,052.12 and 447.66 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.38 : 1,052.12 = 447.66 : x
  2. Step 2: Convert to fraction form
    762.38/1,052.12 = 447.66/x
  3. Step 3: Cross multiply
    762.38x = 1,052.12 × 447.66
  4. Step 4: Simplify right side
    762.38x = 470,987.53
  5. Step 5: Solve for x
    x = 470,987.53/762.38
  6. Step 6: Final answer
    x = 617.79

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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.