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Finding the Fourth Proportional to 695.91, 1,042.95 and 622.35

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Solution

The fourth proportional to 695.91, 1,042.95 and 622.35 is: 932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.91 : 1,042.95 = 622.35 : x
  2. Step 2: Convert to fraction form
    695.91/1,042.95 = 622.35/x
  3. Step 3: Cross multiply
    695.91x = 1,042.95 × 622.35
  4. Step 4: Simplify right side
    695.91x = 649,079.93
  5. Step 5: Solve for x
    x = 649,079.93/695.91
  6. Step 6: Final answer
    x = 932.71

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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.