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Finding the Fourth Proportional to 731.67, 1,009.58 and 694.73

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Solution

The fourth proportional to 731.67, 1,009.58 and 694.73 is: 958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.67 : 1,009.58 = 694.73 : x
  2. Step 2: Convert to fraction form
    731.67/1,009.58 = 694.73/x
  3. Step 3: Cross multiply
    731.67x = 1,009.58 × 694.73
  4. Step 4: Simplify right side
    731.67x = 701,382.04
  5. Step 5: Solve for x
    x = 701,382.04/731.67
  6. Step 6: Final answer
    x = 958.60

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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.