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Finding the Fourth Proportional to 1,022.27, 1,533.33 and 559.92

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Solution

The fourth proportional to 1,022.27, 1,533.33 and 559.92 is: 839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.27 : 1,533.33 = 559.92 : x
  2. Step 2: Convert to fraction form
    1,022.27/1,533.33 = 559.92/x
  3. Step 3: Cross multiply
    1,022.27x = 1,533.33 × 559.92
  4. Step 4: Simplify right side
    1,022.27x = 858,542.13
  5. Step 5: Solve for x
    x = 858,542.13/1,022.27
  6. Step 6: Final answer
    x = 839.84

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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.