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Finding the Fourth Proportional to 857.22, 1,285.83 and 514.50

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Solution

The fourth proportional to 857.22, 1,285.83 and 514.50 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,285.83 = 514.50 : x
  2. Step 2: Convert to fraction form
    857.22/1,285.83 = 514.50/x
  3. Step 3: Cross multiply
    857.22x = 1,285.83 × 514.50
  4. Step 4: Simplify right side
    857.22x = 661,559.54
  5. Step 5: Solve for x
    x = 661,559.54/857.22
  6. Step 6: Final answer
    x = 771.75

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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.