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Finding the Fourth Proportional to 1,338.62, 1,847.51 and 814.56

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Solution

The fourth proportional to 1,338.62, 1,847.51 and 814.56 is: 1,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.62 : 1,847.51 = 814.56 : x
  2. Step 2: Convert to fraction form
    1,338.62/1,847.51 = 814.56/x
  3. Step 3: Cross multiply
    1,338.62x = 1,847.51 × 814.56
  4. Step 4: Simplify right side
    1,338.62x = 1,504,907.75
  5. Step 5: Solve for x
    x = 1,504,907.75/1,338.62
  6. Step 6: Final answer
    x = 1,124.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.