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Finding the Fourth Proportional to 828.54, 1,143.77 and 492.42

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Solution

The fourth proportional to 828.54, 1,143.77 and 492.42 is: 679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,143.77 = 492.42 : x
  2. Step 2: Convert to fraction form
    828.54/1,143.77 = 492.42/x
  3. Step 3: Cross multiply
    828.54x = 1,143.77 × 492.42
  4. Step 4: Simplify right side
    828.54x = 563,212.76
  5. Step 5: Solve for x
    x = 563,212.76/828.54
  6. Step 6: Final answer
    x = 679.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.