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Finding the Fourth Proportional to 856.28, 1,283.62 and 394.43

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Solution

The fourth proportional to 856.28, 1,283.62 and 394.43 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.28 : 1,283.62 = 394.43 : x
  2. Step 2: Convert to fraction form
    856.28/1,283.62 = 394.43/x
  3. Step 3: Cross multiply
    856.28x = 1,283.62 × 394.43
  4. Step 4: Simplify right side
    856.28x = 506,296.29
  5. Step 5: Solve for x
    x = 506,296.29/856.28
  6. Step 6: Final answer
    x = 591.27

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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.