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Finding the Fourth Proportional to 828.02, 1,242.12 and 394.58

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Solution

The fourth proportional to 828.02, 1,242.12 and 394.58 is: 591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.02 : 1,242.12 = 394.58 : x
  2. Step 2: Convert to fraction form
    828.02/1,242.12 = 394.58/x
  3. Step 3: Cross multiply
    828.02x = 1,242.12 × 394.58
  4. Step 4: Simplify right side
    828.02x = 490,115.71
  5. Step 5: Solve for x
    x = 490,115.71/828.02
  6. Step 6: Final answer
    x = 591.91

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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.