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Finding the Fourth Proportional to 1,154.22, 1,732.38 and 825.48

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Solution

The fourth proportional to 1,154.22, 1,732.38 and 825.48 is: 1,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.22 : 1,732.38 = 825.48 : x
  2. Step 2: Convert to fraction form
    1,154.22/1,732.38 = 825.48/x
  3. Step 3: Cross multiply
    1,154.22x = 1,732.38 × 825.48
  4. Step 4: Simplify right side
    1,154.22x = 1,430,045.04
  5. Step 5: Solve for x
    x = 1,430,045.04/1,154.22
  6. Step 6: Final answer
    x = 1,238.97

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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.