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Finding the Fourth Proportional to 949.62, 1,422.41 and 538.55

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Solution

The fourth proportional to 949.62, 1,422.41 and 538.55 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.62 : 1,422.41 = 538.55 : x
  2. Step 2: Convert to fraction form
    949.62/1,422.41 = 538.55/x
  3. Step 3: Cross multiply
    949.62x = 1,422.41 × 538.55
  4. Step 4: Simplify right side
    949.62x = 766,037.46
  5. Step 5: Solve for x
    x = 766,037.46/949.62
  6. Step 6: Final answer
    x = 806.67

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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.