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Finding the Fourth Proportional to 950.09, 1,425.13 and 487.78

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Solution

The fourth proportional to 950.09, 1,425.13 and 487.78 is: 731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,425.13 = 487.78 : x
  2. Step 2: Convert to fraction form
    950.09/1,425.13 = 487.78/x
  3. Step 3: Cross multiply
    950.09x = 1,425.13 × 487.78
  4. Step 4: Simplify right side
    950.09x = 695,145.13
  5. Step 5: Solve for x
    x = 695,145.13/950.09
  6. Step 6: Final answer
    x = 731.67

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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.