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Finding the Fourth Proportional to 857.26, 1,284.28 and 684.12

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Solution

The fourth proportional to 857.26, 1,284.28 and 684.12 is: 1,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.26 : 1,284.28 = 684.12 : x
  2. Step 2: Convert to fraction form
    857.26/1,284.28 = 684.12/x
  3. Step 3: Cross multiply
    857.26x = 1,284.28 × 684.12
  4. Step 4: Simplify right side
    857.26x = 878,601.63
  5. Step 5: Solve for x
    x = 878,601.63/857.26
  6. Step 6: Final answer
    x = 1,024.90

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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.