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Finding the Fourth Proportional to 1,369.91, 2,054.86 and 396.01

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Solution

The fourth proportional to 1,369.91, 2,054.86 and 396.01 is: 594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.91 : 2,054.86 = 396.01 : x
  2. Step 2: Convert to fraction form
    1,369.91/2,054.86 = 396.01/x
  3. Step 3: Cross multiply
    1,369.91x = 2,054.86 × 396.01
  4. Step 4: Simplify right side
    1,369.91x = 813,739.97
  5. Step 5: Solve for x
    x = 813,739.97/1,369.91
  6. Step 6: Final answer
    x = 594.01

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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.