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Finding the Fourth Proportional to 1,322.20, 1,824.68 and 732.73

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Solution

The fourth proportional to 1,322.20, 1,824.68 and 732.73 is: 1,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.20 : 1,824.68 = 732.73 : x
  2. Step 2: Convert to fraction form
    1,322.20/1,824.68 = 732.73/x
  3. Step 3: Cross multiply
    1,322.20x = 1,824.68 × 732.73
  4. Step 4: Simplify right side
    1,322.20x = 1,336,995.05
  5. Step 5: Solve for x
    x = 1,336,995.05/1,322.20
  6. Step 6: Final answer
    x = 1,011.19

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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.