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Finding the Fourth Proportional to 834.81, 1,151.12 and 790.88

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Solution

The fourth proportional to 834.81, 1,151.12 and 790.88 is: 1,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.81 : 1,151.12 = 790.88 : x
  2. Step 2: Convert to fraction form
    834.81/1,151.12 = 790.88/x
  3. Step 3: Cross multiply
    834.81x = 1,151.12 × 790.88
  4. Step 4: Simplify right side
    834.81x = 910,388.08
  5. Step 5: Solve for x
    x = 910,388.08/834.81
  6. Step 6: Final answer
    x = 1,090.53

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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.