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Finding the Fourth Proportional to 1,369.94, 2,054.61 and 395.78

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Solution

The fourth proportional to 1,369.94, 2,054.61 and 395.78 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.94 : 2,054.61 = 395.78 : x
  2. Step 2: Convert to fraction form
    1,369.94/2,054.61 = 395.78/x
  3. Step 3: Cross multiply
    1,369.94x = 2,054.61 × 395.78
  4. Step 4: Simplify right side
    1,369.94x = 813,173.55
  5. Step 5: Solve for x
    x = 813,173.55/1,369.94
  6. Step 6: Final answer
    x = 593.58

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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.