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Finding the Fourth Proportional to 682.50, 1,024.02 and 298.02

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Solution

The fourth proportional to 682.50, 1,024.02 and 298.02 is: 447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 1,024.02 = 298.02 : x
  2. Step 2: Convert to fraction form
    682.50/1,024.02 = 298.02/x
  3. Step 3: Cross multiply
    682.50x = 1,024.02 × 298.02
  4. Step 4: Simplify right side
    682.50x = 305,178.44
  5. Step 5: Solve for x
    x = 305,178.44/682.50
  6. Step 6: Final answer
    x = 447.15

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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.