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Finding the Fourth Proportional to 828.07, 1,142.82 and 496.58

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Solution

The fourth proportional to 828.07, 1,142.82 and 496.58 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.07 : 1,142.82 = 496.58 : x
  2. Step 2: Convert to fraction form
    828.07/1,142.82 = 496.58/x
  3. Step 3: Cross multiply
    828.07x = 1,142.82 × 496.58
  4. Step 4: Simplify right side
    828.07x = 567,495.84
  5. Step 5: Solve for x
    x = 567,495.84/828.07
  6. Step 6: Final answer
    x = 685.33

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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.