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Finding the Fourth Proportional to 1,396.79, 2,093.71 and 471.47

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Solution

The fourth proportional to 1,396.79, 2,093.71 and 471.47 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.79 : 2,093.71 = 471.47 : x
  2. Step 2: Convert to fraction form
    1,396.79/2,093.71 = 471.47/x
  3. Step 3: Cross multiply
    1,396.79x = 2,093.71 × 471.47
  4. Step 4: Simplify right side
    1,396.79x = 987,121.45
  5. Step 5: Solve for x
    x = 987,121.45/1,396.79
  6. Step 6: Final answer
    x = 706.71

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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.