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Finding the Fourth Proportional to 827.96, 1,142.36 and 513.50

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Solution

The fourth proportional to 827.96, 1,142.36 and 513.50 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,142.36 = 513.50 : x
  2. Step 2: Convert to fraction form
    827.96/1,142.36 = 513.50/x
  3. Step 3: Cross multiply
    827.96x = 1,142.36 × 513.50
  4. Step 4: Simplify right side
    827.96x = 586,599.29
  5. Step 5: Solve for x
    x = 586,599.29/827.96
  6. Step 6: Final answer
    x = 708.49

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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.