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Finding the Fourth Proportional to 823.92, 1,137.12 and 562

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Solution

The fourth proportional to 823.92, 1,137.12 and 562 is: 775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.92 : 1,137.12 = 562 : x
  2. Step 2: Convert to fraction form
    823.92/1,137.12 = 562/x
  3. Step 3: Cross multiply
    823.92x = 1,137.12 × 562
  4. Step 4: Simplify right side
    823.92x = 639,061.44
  5. Step 5: Solve for x
    x = 639,061.44/823.92
  6. Step 6: Final answer
    x = 775.64

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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.