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Finding the Fourth Proportional to 695.00, 1,042.43 and 207.94

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Solution

The fourth proportional to 695.00, 1,042.43 and 207.94 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.00 : 1,042.43 = 207.94 : x
  2. Step 2: Convert to fraction form
    695.00/1,042.43 = 207.94/x
  3. Step 3: Cross multiply
    695.00x = 1,042.43 × 207.94
  4. Step 4: Simplify right side
    695.00x = 216,759.25
  5. Step 5: Solve for x
    x = 216,759.25/695.00
  6. Step 6: Final answer
    x = 311.88

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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.