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Finding the Fourth Proportional to 932.11, 1,285.94 and 695.66

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Solution

The fourth proportional to 932.11, 1,285.94 and 695.66 is: 959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,285.94 = 695.66 : x
  2. Step 2: Convert to fraction form
    932.11/1,285.94 = 695.66/x
  3. Step 3: Cross multiply
    932.11x = 1,285.94 × 695.66
  4. Step 4: Simplify right side
    932.11x = 894,572.33
  5. Step 5: Solve for x
    x = 894,572.33/932.11
  6. Step 6: Final answer
    x = 959.73

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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.