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Finding the Fourth Proportional to 1,322.23, 1,824.79 and 762.79

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Solution

The fourth proportional to 1,322.23, 1,824.79 and 762.79 is: 1,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,824.79 = 762.79 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,824.79 = 762.79/x
  3. Step 3: Cross multiply
    1,322.23x = 1,824.79 × 762.79
  4. Step 4: Simplify right side
    1,322.23x = 1,391,922.44
  5. Step 5: Solve for x
    x = 1,391,922.44/1,322.23
  6. Step 6: Final answer
    x = 1,052.71

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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.