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Finding the Fourth Proportional to 762.41, 1,052.00 and 447.61

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Solution

The fourth proportional to 762.41, 1,052.00 and 447.61 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,052.00 = 447.61 : x
  2. Step 2: Convert to fraction form
    762.41/1,052.00 = 447.61/x
  3. Step 3: Cross multiply
    762.41x = 1,052.00 × 447.61
  4. Step 4: Simplify right side
    762.41x = 470,887.02
  5. Step 5: Solve for x
    x = 470,887.02/762.41
  6. Step 6: Final answer
    x = 617.63

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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.