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Finding the Fourth Proportional to 828.64, 1,242.78 and 280.72

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Solution

The fourth proportional to 828.64, 1,242.78 and 280.72 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,242.78 = 280.72 : x
  2. Step 2: Convert to fraction form
    828.64/1,242.78 = 280.72/x
  3. Step 3: Cross multiply
    828.64x = 1,242.78 × 280.72
  4. Step 4: Simplify right side
    828.64x = 348,873.20
  5. Step 5: Solve for x
    x = 348,873.20/828.64
  6. Step 6: Final answer
    x = 421.02

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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.