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Finding the Fourth Proportional to 834.92, 1,152.06 and 485.54

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Solution

The fourth proportional to 834.92, 1,152.06 and 485.54 is: 669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.92 : 1,152.06 = 485.54 : x
  2. Step 2: Convert to fraction form
    834.92/1,152.06 = 485.54/x
  3. Step 3: Cross multiply
    834.92x = 1,152.06 × 485.54
  4. Step 4: Simplify right side
    834.92x = 559,371.21
  5. Step 5: Solve for x
    x = 559,371.21/834.92
  6. Step 6: Final answer
    x = 669.97

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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.