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Finding the Fourth Proportional to 947.30, 1,306.67 and 611.64

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Solution

The fourth proportional to 947.30, 1,306.67 and 611.64 is: 843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,306.67 = 611.64 : x
  2. Step 2: Convert to fraction form
    947.30/1,306.67 = 611.64/x
  3. Step 3: Cross multiply
    947.30x = 1,306.67 × 611.64
  4. Step 4: Simplify right side
    947.30x = 799,213.17
  5. Step 5: Solve for x
    x = 799,213.17/947.30
  6. Step 6: Final answer
    x = 843.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.