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Finding the Fourth Proportional to 746, 1,119.24 and 380.48

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Solution

The fourth proportional to 746, 1,119.24 and 380.48 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    746 : 1,119.24 = 380.48 : x
  2. Step 2: Convert to fraction form
    746/1,119.24 = 380.48/x
  3. Step 3: Cross multiply
    746x = 1,119.24 × 380.48
  4. Step 4: Simplify right side
    746x = 425,848.44
  5. Step 5: Solve for x
    x = 425,848.44/746
  6. Step 6: Final answer
    x = 570.84

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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.