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Finding the Fourth Proportional to 1,230.46, 1,843.26 and 744.46

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Solution

The fourth proportional to 1,230.46, 1,843.26 and 744.46 is: 1,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.46 : 1,843.26 = 744.46 : x
  2. Step 2: Convert to fraction form
    1,230.46/1,843.26 = 744.46/x
  3. Step 3: Cross multiply
    1,230.46x = 1,843.26 × 744.46
  4. Step 4: Simplify right side
    1,230.46x = 1,372,225.94
  5. Step 5: Solve for x
    x = 1,372,225.94/1,230.46
  6. Step 6: Final answer
    x = 1,115.22

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1.5x scale

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.