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Finding the Fourth Proportional to 762.29, 1,052.12 and 447.72

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Solution

The fourth proportional to 762.29, 1,052.12 and 447.72 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,052.12 = 447.72 : x
  2. Step 2: Convert to fraction form
    762.29/1,052.12 = 447.72/x
  3. Step 3: Cross multiply
    762.29x = 1,052.12 × 447.72
  4. Step 4: Simplify right side
    762.29x = 471,055.17
  5. Step 5: Solve for x
    x = 471,055.17/762.29
  6. Step 6: Final answer
    x = 617.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.