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Finding the Fourth Proportional to 838.44, 1,157.13 and 506.97

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Solution

The fourth proportional to 838.44, 1,157.13 and 506.97 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.44 : 1,157.13 = 506.97 : x
  2. Step 2: Convert to fraction form
    838.44/1,157.13 = 506.97/x
  3. Step 3: Cross multiply
    838.44x = 1,157.13 × 506.97
  4. Step 4: Simplify right side
    838.44x = 586,630.20
  5. Step 5: Solve for x
    x = 586,630.20/838.44
  6. Step 6: Final answer
    x = 699.67

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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.