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Finding the Fourth Proportional to 1,395.78, 2,093.67 and 421.83

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Solution

The fourth proportional to 1,395.78, 2,093.67 and 421.83 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.78 : 2,093.67 = 421.83 : x
  2. Step 2: Convert to fraction form
    1,395.78/2,093.67 = 421.83/x
  3. Step 3: Cross multiply
    1,395.78x = 2,093.67 × 421.83
  4. Step 4: Simplify right side
    1,395.78x = 883,172.82
  5. Step 5: Solve for x
    x = 883,172.82/1,395.78
  6. Step 6: Final answer
    x = 632.75

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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.