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Finding the Fourth Proportional to 828.58, 1,242.87 and 243.63

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Solution

The fourth proportional to 828.58, 1,242.87 and 243.63 is: 365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.58 : 1,242.87 = 243.63 : x
  2. Step 2: Convert to fraction form
    828.58/1,242.87 = 243.63/x
  3. Step 3: Cross multiply
    828.58x = 1,242.87 × 243.63
  4. Step 4: Simplify right side
    828.58x = 302,800.42
  5. Step 5: Solve for x
    x = 302,800.42/828.58
  6. Step 6: Final answer
    x = 365.45

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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.