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Finding the Fourth Proportional to 1,322.44, 1,982.24 and 500.70

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Solution

The fourth proportional to 1,322.44, 1,982.24 and 500.70 is: 750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.44 : 1,982.24 = 500.70 : x
  2. Step 2: Convert to fraction form
    1,322.44/1,982.24 = 500.70/x
  3. Step 3: Cross multiply
    1,322.44x = 1,982.24 × 500.70
  4. Step 4: Simplify right side
    1,322.44x = 992,507.57
  5. Step 5: Solve for x
    x = 992,507.57/1,322.44
  6. Step 6: Final answer
    x = 750.51

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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.