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Finding the Fourth Proportional to 695.96, 1,042.68 and 573.92

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Solution

The fourth proportional to 695.96, 1,042.68 and 573.92 is: 859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.96 : 1,042.68 = 573.92 : x
  2. Step 2: Convert to fraction form
    695.96/1,042.68 = 573.92/x
  3. Step 3: Cross multiply
    695.96x = 1,042.68 × 573.92
  4. Step 4: Simplify right side
    695.96x = 598,414.91
  5. Step 5: Solve for x
    x = 598,414.91/695.96
  6. Step 6: Final answer
    x = 859.84

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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.