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Finding the Fourth Proportional to 832.28, 1,253.38 and 725.36

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Solution

The fourth proportional to 832.28, 1,253.38 and 725.36 is: 1,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.28 : 1,253.38 = 725.36 : x
  2. Step 2: Convert to fraction form
    832.28/1,253.38 = 725.36/x
  3. Step 3: Cross multiply
    832.28x = 1,253.38 × 725.36
  4. Step 4: Simplify right side
    832.28x = 909,151.72
  5. Step 5: Solve for x
    x = 909,151.72/832.28
  6. Step 6: Final answer
    x = 1,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.