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Finding the Fourth Proportional to 736.97, 1,017.02 and 405.41

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Solution

The fourth proportional to 736.97, 1,017.02 and 405.41 is: 559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.97 : 1,017.02 = 405.41 : x
  2. Step 2: Convert to fraction form
    736.97/1,017.02 = 405.41/x
  3. Step 3: Cross multiply
    736.97x = 1,017.02 × 405.41
  4. Step 4: Simplify right side
    736.97x = 412,306.01
  5. Step 5: Solve for x
    x = 412,306.01/736.97
  6. Step 6: Final answer
    x = 559.46

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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.