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Finding the Fourth Proportional to 834.71, 1,254.29 and 782.16

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Solution

The fourth proportional to 834.71, 1,254.29 and 782.16 is: 1,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,254.29 = 782.16 : x
  2. Step 2: Convert to fraction form
    834.71/1,254.29 = 782.16/x
  3. Step 3: Cross multiply
    834.71x = 1,254.29 × 782.16
  4. Step 4: Simplify right side
    834.71x = 981,046.85
  5. Step 5: Solve for x
    x = 981,046.85/834.71
  6. Step 6: Final answer
    x = 1,175.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.