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Finding the Fourth Proportional to 860.86, 1,284.35 and 819.64

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Solution

The fourth proportional to 860.86, 1,284.35 and 819.64 is: 1,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,284.35 = 819.64 : x
  2. Step 2: Convert to fraction form
    860.86/1,284.35 = 819.64/x
  3. Step 3: Cross multiply
    860.86x = 1,284.35 × 819.64
  4. Step 4: Simplify right side
    860.86x = 1,052,704.63
  5. Step 5: Solve for x
    x = 1,052,704.63/860.86
  6. Step 6: Final answer
    x = 1,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.