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Finding the Fourth Proportional to 667.74, 1,001.67 and 484.75

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Solution

The fourth proportional to 667.74, 1,001.67 and 484.75 is: 727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.74 : 1,001.67 = 484.75 : x
  2. Step 2: Convert to fraction form
    667.74/1,001.67 = 484.75/x
  3. Step 3: Cross multiply
    667.74x = 1,001.67 × 484.75
  4. Step 4: Simplify right side
    667.74x = 485,559.53
  5. Step 5: Solve for x
    x = 485,559.53/667.74
  6. Step 6: Final answer
    x = 727.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.