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Finding the Fourth Proportional to 828.34, 1,142.76 and 496.66

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Solution

The fourth proportional to 828.34, 1,142.76 and 496.66 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,142.76 = 496.66 : x
  2. Step 2: Convert to fraction form
    828.34/1,142.76 = 496.66/x
  3. Step 3: Cross multiply
    828.34x = 1,142.76 × 496.66
  4. Step 4: Simplify right side
    828.34x = 567,563.18
  5. Step 5: Solve for x
    x = 567,563.18/828.34
  6. Step 6: Final answer
    x = 685.18

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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.