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Finding the Fourth Proportional to 832, 1,248.64 and 447.36

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Solution

The fourth proportional to 832, 1,248.64 and 447.36 is: 671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    832 : 1,248.64 = 447.36 : x
  2. Step 2: Convert to fraction form
    832/1,248.64 = 447.36/x
  3. Step 3: Cross multiply
    832x = 1,248.64 × 447.36
  4. Step 4: Simplify right side
    832x = 558,591.59
  5. Step 5: Solve for x
    x = 558,591.59/832
  6. Step 6: Final answer
    x = 671.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.