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Finding the Fourth Proportional to 682.56, 1,022.24 and 592

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Solution

The fourth proportional to 682.56, 1,022.24 and 592 is: 886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,022.24 = 592 : x
  2. Step 2: Convert to fraction form
    682.56/1,022.24 = 592/x
  3. Step 3: Cross multiply
    682.56x = 1,022.24 × 592
  4. Step 4: Simplify right side
    682.56x = 605,166.08
  5. Step 5: Solve for x
    x = 605,166.08/682.56
  6. Step 6: Final answer
    x = 886.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.