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Finding the Fourth Proportional to 736.80, 1,016.75 and 422.07

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Solution

The fourth proportional to 736.80, 1,016.75 and 422.07 is: 582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,016.75 = 422.07 : x
  2. Step 2: Convert to fraction form
    736.80/1,016.75 = 422.07/x
  3. Step 3: Cross multiply
    736.80x = 1,016.75 × 422.07
  4. Step 4: Simplify right side
    736.80x = 429,139.67
  5. Step 5: Solve for x
    x = 429,139.67/736.80
  6. Step 6: Final answer
    x = 582.44

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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.