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Finding the Fourth Proportional to 838.53, 1,157.20 and 523.80

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Solution

The fourth proportional to 838.53, 1,157.20 and 523.80 is: 722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,157.20 = 523.80 : x
  2. Step 2: Convert to fraction form
    838.53/1,157.20 = 523.80/x
  3. Step 3: Cross multiply
    838.53x = 1,157.20 × 523.80
  4. Step 4: Simplify right side
    838.53x = 606,140.05
  5. Step 5: Solve for x
    x = 606,140.05/838.53
  6. Step 6: Final answer
    x = 722.86

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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.