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Finding the Fourth Proportional to 741.84, 1,023.70 and 447.09

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Solution

The fourth proportional to 741.84, 1,023.70 and 447.09 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,023.70 = 447.09 : x
  2. Step 2: Convert to fraction form
    741.84/1,023.70 = 447.09/x
  3. Step 3: Cross multiply
    741.84x = 1,023.70 × 447.09
  4. Step 4: Simplify right side
    741.84x = 457,686.03
  5. Step 5: Solve for x
    x = 457,686.03/741.84
  6. Step 6: Final answer
    x = 616.96

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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.