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Finding the Fourth Proportional to 1,476.19, 2,212.73 and 744.23

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Solution

The fourth proportional to 1,476.19, 2,212.73 and 744.23 is: 1,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.19 : 2,212.73 = 744.23 : x
  2. Step 2: Convert to fraction form
    1,476.19/2,212.73 = 744.23/x
  3. Step 3: Cross multiply
    1,476.19x = 2,212.73 × 744.23
  4. Step 4: Simplify right side
    1,476.19x = 1,646,780.05
  5. Step 5: Solve for x
    x = 1,646,780.05/1,476.19
  6. Step 6: Final answer
    x = 1,115.56

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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.