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Finding the Fourth Proportional to 828.41, 1,142.83 and 513.59

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Solution

The fourth proportional to 828.41, 1,142.83 and 513.59 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,142.83 = 513.59 : x
  2. Step 2: Convert to fraction form
    828.41/1,142.83 = 513.59/x
  3. Step 3: Cross multiply
    828.41x = 1,142.83 × 513.59
  4. Step 4: Simplify right side
    828.41x = 586,946.06
  5. Step 5: Solve for x
    x = 586,946.06/828.41
  6. Step 6: Final answer
    x = 708.52

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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.