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Finding the Fourth Proportional to 786.17, 1,178.57 and 323.66

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Solution

The fourth proportional to 786.17, 1,178.57 and 323.66 is: 485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.17 : 1,178.57 = 323.66 : x
  2. Step 2: Convert to fraction form
    786.17/1,178.57 = 323.66/x
  3. Step 3: Cross multiply
    786.17x = 1,178.57 × 323.66
  4. Step 4: Simplify right side
    786.17x = 381,453.09
  5. Step 5: Solve for x
    x = 381,453.09/786.17
  6. Step 6: Final answer
    x = 485.21

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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.