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Finding the Fourth Proportional to 695.24, 952.32 and 686.34

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Solution

The fourth proportional to 695.24, 952.32 and 686.34 is: 940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 952.32 = 686.34 : x
  2. Step 2: Convert to fraction form
    695.24/952.32 = 686.34/x
  3. Step 3: Cross multiply
    695.24x = 952.32 × 686.34
  4. Step 4: Simplify right side
    695.24x = 653,615.31
  5. Step 5: Solve for x
    x = 653,615.31/695.24
  6. Step 6: Final answer
    x = 940.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.