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Finding the Fourth Proportional to 828.80, 1,141.80 and 566.48

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Solution

The fourth proportional to 828.80, 1,141.80 and 566.48 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.80 : 1,141.80 = 566.48 : x
  2. Step 2: Convert to fraction form
    828.80/1,141.80 = 566.48/x
  3. Step 3: Cross multiply
    828.80x = 1,141.80 × 566.48
  4. Step 4: Simplify right side
    828.80x = 646,806.86
  5. Step 5: Solve for x
    x = 646,806.86/828.80
  6. Step 6: Final answer
    x = 780.41

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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.