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Finding the Fourth Proportional to 744, 1,116.24 and 378.48

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Solution

The fourth proportional to 744, 1,116.24 and 378.48 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    744 : 1,116.24 = 378.48 : x
  2. Step 2: Convert to fraction form
    744/1,116.24 = 378.48/x
  3. Step 3: Cross multiply
    744x = 1,116.24 × 378.48
  4. Step 4: Simplify right side
    744x = 422,474.52
  5. Step 5: Solve for x
    x = 422,474.52/744
  6. Step 6: Final answer
    x = 567.84

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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.