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Finding the Fourth Proportional to 827.88, 1,142.98 and 513.58

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Solution

The fourth proportional to 827.88, 1,142.98 and 513.58 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.88 : 1,142.98 = 513.58 : x
  2. Step 2: Convert to fraction form
    827.88/1,142.98 = 513.58/x
  3. Step 3: Cross multiply
    827.88x = 1,142.98 × 513.58
  4. Step 4: Simplify right side
    827.88x = 587,011.67
  5. Step 5: Solve for x
    x = 587,011.67/827.88
  6. Step 6: Final answer
    x = 709.05

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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.