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Finding the Fourth Proportional to 1,282.26, 1,769.49 and 722.73

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Solution

The fourth proportional to 1,282.26, 1,769.49 and 722.73 is: 997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.26 : 1,769.49 = 722.73 : x
  2. Step 2: Convert to fraction form
    1,282.26/1,769.49 = 722.73/x
  3. Step 3: Cross multiply
    1,282.26x = 1,769.49 × 722.73
  4. Step 4: Simplify right side
    1,282.26x = 1,278,863.51
  5. Step 5: Solve for x
    x = 1,278,863.51/1,282.26
  6. Step 6: Final answer
    x = 997.35

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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.