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Finding the Fourth Proportional to 828.18, 1,142.64 and 496.69

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Solution

The fourth proportional to 828.18, 1,142.64 and 496.69 is: 685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,142.64 = 496.69 : x
  2. Step 2: Convert to fraction form
    828.18/1,142.64 = 496.69/x
  3. Step 3: Cross multiply
    828.18x = 1,142.64 × 496.69
  4. Step 4: Simplify right side
    828.18x = 567,535.01
  5. Step 5: Solve for x
    x = 567,535.01/828.18
  6. Step 6: Final answer
    x = 685.28

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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.