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Finding the Fourth Proportional to 1,369.71, 2,054.76 and 444.97

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Solution

The fourth proportional to 1,369.71, 2,054.76 and 444.97 is: 667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.71 : 2,054.76 = 444.97 : x
  2. Step 2: Convert to fraction form
    1,369.71/2,054.76 = 444.97/x
  3. Step 3: Cross multiply
    1,369.71x = 2,054.76 × 444.97
  4. Step 4: Simplify right side
    1,369.71x = 914,306.56
  5. Step 5: Solve for x
    x = 914,306.56/1,369.71
  6. Step 6: Final answer
    x = 667.52

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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.