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Finding the Fourth Proportional to 927.02, 1,387.28 and 682.94

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Solution

The fourth proportional to 927.02, 1,387.28 and 682.94 is: 1,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.02 : 1,387.28 = 682.94 : x
  2. Step 2: Convert to fraction form
    927.02/1,387.28 = 682.94/x
  3. Step 3: Cross multiply
    927.02x = 1,387.28 × 682.94
  4. Step 4: Simplify right side
    927.02x = 947,429.00
  5. Step 5: Solve for x
    x = 947,429.00/927.02
  6. Step 6: Final answer
    x = 1,022.02

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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.