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Finding the Fourth Proportional to 828.72, 1,241.72 and 417.44

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Solution

The fourth proportional to 828.72, 1,241.72 and 417.44 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.72 : 1,241.72 = 417.44 : x
  2. Step 2: Convert to fraction form
    828.72/1,241.72 = 417.44/x
  3. Step 3: Cross multiply
    828.72x = 1,241.72 × 417.44
  4. Step 4: Simplify right side
    828.72x = 518,343.60
  5. Step 5: Solve for x
    x = 518,343.60/828.72
  6. Step 6: Final answer
    x = 625.47

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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.