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Finding the Fourth Proportional to 932.94, 1,289.79 and 699.66

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Solution

The fourth proportional to 932.94, 1,289.79 and 699.66 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,289.79 = 699.66 : x
  2. Step 2: Convert to fraction form
    932.94/1,289.79 = 699.66/x
  3. Step 3: Cross multiply
    932.94x = 1,289.79 × 699.66
  4. Step 4: Simplify right side
    932.94x = 902,414.47
  5. Step 5: Solve for x
    x = 902,414.47/932.94
  6. Step 6: Final answer
    x = 967.28

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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.