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Finding the Fourth Proportional to 825.88, 1,238.82 and 248.76

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Solution

The fourth proportional to 825.88, 1,238.82 and 248.76 is: 373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,238.82 = 248.76 : x
  2. Step 2: Convert to fraction form
    825.88/1,238.82 = 248.76/x
  3. Step 3: Cross multiply
    825.88x = 1,238.82 × 248.76
  4. Step 4: Simplify right side
    825.88x = 308,168.86
  5. Step 5: Solve for x
    x = 308,168.86/825.88
  6. Step 6: Final answer
    x = 373.14

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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.