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Finding the Fourth Proportional to 746.34, 1,119.87 and 361.50

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Solution

The fourth proportional to 746.34, 1,119.87 and 361.50 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.34 : 1,119.87 = 361.50 : x
  2. Step 2: Convert to fraction form
    746.34/1,119.87 = 361.50/x
  3. Step 3: Cross multiply
    746.34x = 1,119.87 × 361.50
  4. Step 4: Simplify right side
    746.34x = 404,833.01
  5. Step 5: Solve for x
    x = 404,833.01/746.34
  6. Step 6: Final answer
    x = 542.42

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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.