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Finding the Fourth Proportional to 1,244.35, 1,866.93 and 423.15

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Solution

The fourth proportional to 1,244.35, 1,866.93 and 423.15 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.35 : 1,866.93 = 423.15 : x
  2. Step 2: Convert to fraction form
    1,244.35/1,866.93 = 423.15/x
  3. Step 3: Cross multiply
    1,244.35x = 1,866.93 × 423.15
  4. Step 4: Simplify right side
    1,244.35x = 789,991.43
  5. Step 5: Solve for x
    x = 789,991.43/1,244.35
  6. Step 6: Final answer
    x = 634.86

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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.