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Finding the Fourth Proportional to 838.23, 1,157.33 and 523.98

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Solution

The fourth proportional to 838.23, 1,157.33 and 523.98 is: 723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.23 : 1,157.33 = 523.98 : x
  2. Step 2: Convert to fraction form
    838.23/1,157.33 = 523.98/x
  3. Step 3: Cross multiply
    838.23x = 1,157.33 × 523.98
  4. Step 4: Simplify right side
    838.23x = 606,415.15
  5. Step 5: Solve for x
    x = 606,415.15/838.23
  6. Step 6: Final answer
    x = 723.45

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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.