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Finding the Fourth Proportional to 838.32, 1,157 and 523.91

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Solution

The fourth proportional to 838.32, 1,157 and 523.91 is: 723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.32 : 1,157 = 523.91 : x
  2. Step 2: Convert to fraction form
    838.32/1,157 = 523.91/x
  3. Step 3: Cross multiply
    838.32x = 1,157 × 523.91
  4. Step 4: Simplify right side
    838.32x = 606,163.87
  5. Step 5: Solve for x
    x = 606,163.87/838.32
  6. Step 6: Final answer
    x = 723.07

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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.