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Finding the Fourth Proportional to 827.52, 1,142.42 and 579.06

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Solution

The fourth proportional to 827.52, 1,142.42 and 579.06 is: 799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,142.42 = 579.06 : x
  2. Step 2: Convert to fraction form
    827.52/1,142.42 = 579.06/x
  3. Step 3: Cross multiply
    827.52x = 1,142.42 × 579.06
  4. Step 4: Simplify right side
    827.52x = 661,526.83
  5. Step 5: Solve for x
    x = 661,526.83/827.52
  6. Step 6: Final answer
    x = 799.41

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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.