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Finding the Fourth Proportional to 856.92, 1,283.10 and 718.92

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Solution

The fourth proportional to 856.92, 1,283.10 and 718.92 is: 1,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.92 : 1,283.10 = 718.92 : x
  2. Step 2: Convert to fraction form
    856.92/1,283.10 = 718.92/x
  3. Step 3: Cross multiply
    856.92x = 1,283.10 × 718.92
  4. Step 4: Simplify right side
    856.92x = 922,446.25
  5. Step 5: Solve for x
    x = 922,446.25/856.92
  6. Step 6: Final answer
    x = 1,076.47

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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.