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Finding the Fourth Proportional to 1,338.32, 1,846.97 and 748.84

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Solution

The fourth proportional to 1,338.32, 1,846.97 and 748.84 is: 1,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.32 : 1,846.97 = 748.84 : x
  2. Step 2: Convert to fraction form
    1,338.32/1,846.97 = 748.84/x
  3. Step 3: Cross multiply
    1,338.32x = 1,846.97 × 748.84
  4. Step 4: Simplify right side
    1,338.32x = 1,383,085.01
  5. Step 5: Solve for x
    x = 1,383,085.01/1,338.32
  6. Step 6: Final answer
    x = 1,033.45

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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.