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Finding the Fourth Proportional to 832, 1,148.24 and 521.44

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Solution

The fourth proportional to 832, 1,148.24 and 521.44 is: 719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832 : 1,148.24 = 521.44 : x
  2. Step 2: Convert to fraction form
    832/1,148.24 = 521.44/x
  3. Step 3: Cross multiply
    832x = 1,148.24 × 521.44
  4. Step 4: Simplify right side
    832x = 598,738.27
  5. Step 5: Solve for x
    x = 598,738.27/832
  6. Step 6: Final answer
    x = 719.64

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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.