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Finding the Fourth Proportional to 786.27, 1,179.65 and 460.95

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Solution

The fourth proportional to 786.27, 1,179.65 and 460.95 is: 691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.27 : 1,179.65 = 460.95 : x
  2. Step 2: Convert to fraction form
    786.27/1,179.65 = 460.95/x
  3. Step 3: Cross multiply
    786.27x = 1,179.65 × 460.95
  4. Step 4: Simplify right side
    786.27x = 543,757.36
  5. Step 5: Solve for x
    x = 543,757.36/786.27
  6. Step 6: Final answer
    x = 691.57

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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.