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Finding the Fourth Proportional to 736.89, 1,016.90 and 405.32

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Solution

The fourth proportional to 736.89, 1,016.90 and 405.32 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.89 : 1,016.90 = 405.32 : x
  2. Step 2: Convert to fraction form
    736.89/1,016.90 = 405.32/x
  3. Step 3: Cross multiply
    736.89x = 1,016.90 × 405.32
  4. Step 4: Simplify right side
    736.89x = 412,162.80
  5. Step 5: Solve for x
    x = 412,162.80/736.89
  6. Step 6: Final answer
    x = 559.33

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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.