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Finding the Fourth Proportional to 838.42, 1,157.03 and 506.79

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Solution

The fourth proportional to 838.42, 1,157.03 and 506.79 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,157.03 = 506.79 : x
  2. Step 2: Convert to fraction form
    838.42/1,157.03 = 506.79/x
  3. Step 3: Cross multiply
    838.42x = 1,157.03 × 506.79
  4. Step 4: Simplify right side
    838.42x = 586,362.91
  5. Step 5: Solve for x
    x = 586,362.91/838.42
  6. Step 6: Final answer
    x = 699.37

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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.