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Finding the Fourth Proportional to 736.70, 1,016.86 and 422.14

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Solution

The fourth proportional to 736.70, 1,016.86 and 422.14 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,016.86 = 422.14 : x
  2. Step 2: Convert to fraction form
    736.70/1,016.86 = 422.14/x
  3. Step 3: Cross multiply
    736.70x = 1,016.86 × 422.14
  4. Step 4: Simplify right side
    736.70x = 429,257.28
  5. Step 5: Solve for x
    x = 429,257.28/736.70
  6. Step 6: Final answer
    x = 582.68

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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.