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Finding the Fourth Proportional to 746.20, 1,119.30 and 416.80

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Solution

The fourth proportional to 746.20, 1,119.30 and 416.80 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.20 : 1,119.30 = 416.80 : x
  2. Step 2: Convert to fraction form
    746.20/1,119.30 = 416.80/x
  3. Step 3: Cross multiply
    746.20x = 1,119.30 × 416.80
  4. Step 4: Simplify right side
    746.20x = 466,524.24
  5. Step 5: Solve for x
    x = 466,524.24/746.20
  6. Step 6: Final answer
    x = 625.20

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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.