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Finding the Fourth Proportional to 741.50, 1,112.43 and 376.21

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Solution

The fourth proportional to 741.50, 1,112.43 and 376.21 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,112.43 = 376.21 : x
  2. Step 2: Convert to fraction form
    741.50/1,112.43 = 376.21/x
  3. Step 3: Cross multiply
    741.50x = 1,112.43 × 376.21
  4. Step 4: Simplify right side
    741.50x = 418,510.09
  5. Step 5: Solve for x
    x = 418,510.09/741.50
  6. Step 6: Final answer
    x = 564.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.