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Finding the Fourth Proportional to 828.07, 1,142.62 and 496.42

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Solution

The fourth proportional to 828.07, 1,142.62 and 496.42 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.07 : 1,142.62 = 496.42 : x
  2. Step 2: Convert to fraction form
    828.07/1,142.62 = 496.42/x
  3. Step 3: Cross multiply
    828.07x = 1,142.62 × 496.42
  4. Step 4: Simplify right side
    828.07x = 567,219.42
  5. Step 5: Solve for x
    x = 567,219.42/828.07
  6. Step 6: Final answer
    x = 684.99

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