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Finding the Fourth Proportional to 1,396.20, 2,093.71 and 421.77

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Solution

The fourth proportional to 1,396.20, 2,093.71 and 421.77 is: 632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.20 : 2,093.71 = 421.77 : x
  2. Step 2: Convert to fraction form
    1,396.20/2,093.71 = 421.77/x
  3. Step 3: Cross multiply
    1,396.20x = 2,093.71 × 421.77
  4. Step 4: Simplify right side
    1,396.20x = 883,064.07
  5. Step 5: Solve for x
    x = 883,064.07/1,396.20
  6. Step 6: Final answer
    x = 632.48

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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.