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Finding the Fourth Proportional to 834.42, 1,150.56 and 784.20

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Solution

The fourth proportional to 834.42, 1,150.56 and 784.20 is: 1,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,150.56 = 784.20 : x
  2. Step 2: Convert to fraction form
    834.42/1,150.56 = 784.20/x
  3. Step 3: Cross multiply
    834.42x = 1,150.56 × 784.20
  4. Step 4: Simplify right side
    834.42x = 902,269.15
  5. Step 5: Solve for x
    x = 902,269.15/834.42
  6. Step 6: Final answer
    x = 1,081.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.