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Finding the Fourth Proportional to 827.72, 1,142.32 and 532.80

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Solution

The fourth proportional to 827.72, 1,142.32 and 532.80 is: 735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,142.32 = 532.80 : x
  2. Step 2: Convert to fraction form
    827.72/1,142.32 = 532.80/x
  3. Step 3: Cross multiply
    827.72x = 1,142.32 × 532.80
  4. Step 4: Simplify right side
    827.72x = 608,628.10
  5. Step 5: Solve for x
    x = 608,628.10/827.72
  6. Step 6: Final answer
    x = 735.31

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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.