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Finding the Fourth Proportional to 928.29, 1,393.11 and 685.47

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Solution

The fourth proportional to 928.29, 1,393.11 and 685.47 is: 1,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.29 : 1,393.11 = 685.47 : x
  2. Step 2: Convert to fraction form
    928.29/1,393.11 = 685.47/x
  3. Step 3: Cross multiply
    928.29x = 1,393.11 × 685.47
  4. Step 4: Simplify right side
    928.29x = 954,935.11
  5. Step 5: Solve for x
    x = 954,935.11/928.29
  6. Step 6: Final answer
    x = 1,028.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.