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Finding the Fourth Proportional to 736.01, 1,015.49 and 474.17

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Solution

The fourth proportional to 736.01, 1,015.49 and 474.17 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.01 : 1,015.49 = 474.17 : x
  2. Step 2: Convert to fraction form
    736.01/1,015.49 = 474.17/x
  3. Step 3: Cross multiply
    736.01x = 1,015.49 × 474.17
  4. Step 4: Simplify right side
    736.01x = 481,507.45
  5. Step 5: Solve for x
    x = 481,507.45/736.01
  6. Step 6: Final answer
    x = 654.22

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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.