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Finding the Fourth Proportional to 1,369.71, 2,054.07 and 491.97

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Solution

The fourth proportional to 1,369.71, 2,054.07 and 491.97 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.71 : 2,054.07 = 491.97 : x
  2. Step 2: Convert to fraction form
    1,369.71/2,054.07 = 491.97/x
  3. Step 3: Cross multiply
    1,369.71x = 2,054.07 × 491.97
  4. Step 4: Simplify right side
    1,369.71x = 1,010,540.82
  5. Step 5: Solve for x
    x = 1,010,540.82/1,369.71
  6. Step 6: Final answer
    x = 737.78

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Why These Related Problems?

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