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Finding the Fourth Proportional to 786.10, 1,178.14 and 323.36

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Solution

The fourth proportional to 786.10, 1,178.14 and 323.36 is: 484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.10 : 1,178.14 = 323.36 : x
  2. Step 2: Convert to fraction form
    786.10/1,178.14 = 323.36/x
  3. Step 3: Cross multiply
    786.10x = 1,178.14 × 323.36
  4. Step 4: Simplify right side
    786.10x = 380,963.35
  5. Step 5: Solve for x
    x = 380,963.35/786.10
  6. Step 6: Final answer
    x = 484.62

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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.