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Finding the Fourth Proportional to 1,019.88, 1,529.91 and 950.42

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Solution

The fourth proportional to 1,019.88, 1,529.91 and 950.42 is: 1,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.88 : 1,529.91 = 950.42 : x
  2. Step 2: Convert to fraction form
    1,019.88/1,529.91 = 950.42/x
  3. Step 3: Cross multiply
    1,019.88x = 1,529.91 × 950.42
  4. Step 4: Simplify right side
    1,019.88x = 1,454,049.41
  5. Step 5: Solve for x
    x = 1,454,049.41/1,019.88
  6. Step 6: Final answer
    x = 1,425.71

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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.