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Finding the Fourth Proportional to 1,022.27, 1,525.73 and 997.65

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Solution

The fourth proportional to 1,022.27, 1,525.73 and 997.65 is: 1,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.27 : 1,525.73 = 997.65 : x
  2. Step 2: Convert to fraction form
    1,022.27/1,525.73 = 997.65/x
  3. Step 3: Cross multiply
    1,022.27x = 1,525.73 × 997.65
  4. Step 4: Simplify right side
    1,022.27x = 1,522,139.55
  5. Step 5: Solve for x
    x = 1,522,139.55/1,022.27
  6. Step 6: Final answer
    x = 1,488.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.