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Finding the Fourth Proportional to 828.53, 1,242.85 and 301.37

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Solution

The fourth proportional to 828.53, 1,242.85 and 301.37 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.53 : 1,242.85 = 301.37 : x
  2. Step 2: Convert to fraction form
    828.53/1,242.85 = 301.37/x
  3. Step 3: Cross multiply
    828.53x = 1,242.85 × 301.37
  4. Step 4: Simplify right side
    828.53x = 374,557.70
  5. Step 5: Solve for x
    x = 374,557.70/828.53
  6. Step 6: Final answer
    x = 452.08

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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.