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Finding the Fourth Proportional to 950.23, 1,425.33 and 794.41

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Solution

The fourth proportional to 950.23, 1,425.33 and 794.41 is: 1,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.23 : 1,425.33 = 794.41 : x
  2. Step 2: Convert to fraction form
    950.23/1,425.33 = 794.41/x
  3. Step 3: Cross multiply
    950.23x = 1,425.33 × 794.41
  4. Step 4: Simplify right side
    950.23x = 1,132,292.84
  5. Step 5: Solve for x
    x = 1,132,292.84/950.23
  6. Step 6: Final answer
    x = 1,191.60

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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.