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Finding the Fourth Proportional to 736.90, 1,016.93 and 405.34

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Solution

The fourth proportional to 736.90, 1,016.93 and 405.34 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.90 : 1,016.93 = 405.34 : x
  2. Step 2: Convert to fraction form
    736.90/1,016.93 = 405.34/x
  3. Step 3: Cross multiply
    736.90x = 1,016.93 × 405.34
  4. Step 4: Simplify right side
    736.90x = 412,202.41
  5. Step 5: Solve for x
    x = 412,202.41/736.90
  6. Step 6: Final answer
    x = 559.37

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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.