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Finding the Fourth Proportional to 838.53, 1,157.70 and 523.92

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Solution

The fourth proportional to 838.53, 1,157.70 and 523.92 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,157.70 = 523.92 : x
  2. Step 2: Convert to fraction form
    838.53/1,157.70 = 523.92/x
  3. Step 3: Cross multiply
    838.53x = 1,157.70 × 523.92
  4. Step 4: Simplify right side
    838.53x = 606,542.18
  5. Step 5: Solve for x
    x = 606,542.18/838.53
  6. Step 6: Final answer
    x = 723.34

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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.