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Finding the Fourth Proportional to 863.02, 1,294.80 and 785.80

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Solution

The fourth proportional to 863.02, 1,294.80 and 785.80 is: 1,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.02 : 1,294.80 = 785.80 : x
  2. Step 2: Convert to fraction form
    863.02/1,294.80 = 785.80/x
  3. Step 3: Cross multiply
    863.02x = 1,294.80 × 785.80
  4. Step 4: Simplify right side
    863.02x = 1,017,453.84
  5. Step 5: Solve for x
    x = 1,017,453.84/863.02
  6. Step 6: Final answer
    x = 1,178.95

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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.