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Finding the Fourth Proportional to 828.03, 1,242.05 and 308.01

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Solution

The fourth proportional to 828.03, 1,242.05 and 308.01 is: 462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.03 : 1,242.05 = 308.01 : x
  2. Step 2: Convert to fraction form
    828.03/1,242.05 = 308.01/x
  3. Step 3: Cross multiply
    828.03x = 1,242.05 × 308.01
  4. Step 4: Simplify right side
    828.03x = 382,562.28
  5. Step 5: Solve for x
    x = 382,562.28/828.03
  6. Step 6: Final answer
    x = 462.02

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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.