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Finding the Fourth Proportional to 834.96, 1,152.66 and 648.03

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Solution

The fourth proportional to 834.96, 1,152.66 and 648.03 is: 894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,152.66 = 648.03 : x
  2. Step 2: Convert to fraction form
    834.96/1,152.66 = 648.03/x
  3. Step 3: Cross multiply
    834.96x = 1,152.66 × 648.03
  4. Step 4: Simplify right side
    834.96x = 746,958.26
  5. Step 5: Solve for x
    x = 746,958.26/834.96
  6. Step 6: Final answer
    x = 894.60

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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.