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Finding the Fourth Proportional to 736.09, 1,013.96 and 682.92

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Solution

The fourth proportional to 736.09, 1,013.96 and 682.92 is: 940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.09 : 1,013.96 = 682.92 : x
  2. Step 2: Convert to fraction form
    736.09/1,013.96 = 682.92/x
  3. Step 3: Cross multiply
    736.09x = 1,013.96 × 682.92
  4. Step 4: Simplify right side
    736.09x = 692,455.27
  5. Step 5: Solve for x
    x = 692,455.27/736.09
  6. Step 6: Final answer
    x = 940.72

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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.