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Finding the Fourth Proportional to 857.27, 1,284.93 and 532.86

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Solution

The fourth proportional to 857.27, 1,284.93 and 532.86 is: 798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.27 : 1,284.93 = 532.86 : x
  2. Step 2: Convert to fraction form
    857.27/1,284.93 = 532.86/x
  3. Step 3: Cross multiply
    857.27x = 1,284.93 × 532.86
  4. Step 4: Simplify right side
    857.27x = 684,687.80
  5. Step 5: Solve for x
    x = 684,687.80/857.27
  6. Step 6: Final answer
    x = 798.69

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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.