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Finding the Fourth Proportional to 736.88, 1,016.89 and 405.33

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Solution

The fourth proportional to 736.88, 1,016.89 and 405.33 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.88 : 1,016.89 = 405.33 : x
  2. Step 2: Convert to fraction form
    736.88/1,016.89 = 405.33/x
  3. Step 3: Cross multiply
    736.88x = 1,016.89 × 405.33
  4. Step 4: Simplify right side
    736.88x = 412,172.72
  5. Step 5: Solve for x
    x = 412,172.72/736.88
  6. Step 6: Final answer
    x = 559.35

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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.