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Finding the Fourth Proportional to 828.50, 1,241.22 and 417.02

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Solution

The fourth proportional to 828.50, 1,241.22 and 417.02 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,241.22 = 417.02 : x
  2. Step 2: Convert to fraction form
    828.50/1,241.22 = 417.02/x
  3. Step 3: Cross multiply
    828.50x = 1,241.22 × 417.02
  4. Step 4: Simplify right side
    828.50x = 517,613.56
  5. Step 5: Solve for x
    x = 517,613.56/828.50
  6. Step 6: Final answer
    x = 624.76

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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.