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Finding the Fourth Proportional to 839.03, 1,254.90 and 812.30

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Solution

The fourth proportional to 839.03, 1,254.90 and 812.30 is: 1,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.03 : 1,254.90 = 812.30 : x
  2. Step 2: Convert to fraction form
    839.03/1,254.90 = 812.30/x
  3. Step 3: Cross multiply
    839.03x = 1,254.90 × 812.30
  4. Step 4: Simplify right side
    839.03x = 1,019,355.27
  5. Step 5: Solve for x
    x = 1,019,355.27/839.03
  6. Step 6: Final answer
    x = 1,214.92

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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.