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Finding the Fourth Proportional to 827.58, 1,142.13 and 532.92

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Solution

The fourth proportional to 827.58, 1,142.13 and 532.92 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,142.13 = 532.92 : x
  2. Step 2: Convert to fraction form
    827.58/1,142.13 = 532.92/x
  3. Step 3: Cross multiply
    827.58x = 1,142.13 × 532.92
  4. Step 4: Simplify right side
    827.58x = 608,663.92
  5. Step 5: Solve for x
    x = 608,663.92/827.58
  6. Step 6: Final answer
    x = 735.47

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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.