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Finding the Fourth Proportional to 695.79, 960.31 and 529.69

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Solution

The fourth proportional to 695.79, 960.31 and 529.69 is: 731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.79 : 960.31 = 529.69 : x
  2. Step 2: Convert to fraction form
    695.79/960.31 = 529.69/x
  3. Step 3: Cross multiply
    695.79x = 960.31 × 529.69
  4. Step 4: Simplify right side
    695.79x = 508,663.69
  5. Step 5: Solve for x
    x = 508,663.69/695.79
  6. Step 6: Final answer
    x = 731.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.