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Finding the Fourth Proportional to 825.66, 1,237.82 and 305.42

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Solution

The fourth proportional to 825.66, 1,237.82 and 305.42 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.66 : 1,237.82 = 305.42 : x
  2. Step 2: Convert to fraction form
    825.66/1,237.82 = 305.42/x
  3. Step 3: Cross multiply
    825.66x = 1,237.82 × 305.42
  4. Step 4: Simplify right side
    825.66x = 378,047.27
  5. Step 5: Solve for x
    x = 378,047.27/825.66
  6. Step 6: Final answer
    x = 457.87

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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.