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Finding the Fourth Proportional to 736.81, 1,016.89 and 422.12

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Solution

The fourth proportional to 736.81, 1,016.89 and 422.12 is: 582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.81 : 1,016.89 = 422.12 : x
  2. Step 2: Convert to fraction form
    736.81/1,016.89 = 422.12/x
  3. Step 3: Cross multiply
    736.81x = 1,016.89 × 422.12
  4. Step 4: Simplify right side
    736.81x = 429,249.61
  5. Step 5: Solve for x
    x = 429,249.61/736.81
  6. Step 6: Final answer
    x = 582.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.