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Finding the Fourth Proportional to 783.92, 1,175.78 and 206.84

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Solution

The fourth proportional to 783.92, 1,175.78 and 206.84 is: 310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,175.78 = 206.84 : x
  2. Step 2: Convert to fraction form
    783.92/1,175.78 = 206.84/x
  3. Step 3: Cross multiply
    783.92x = 1,175.78 × 206.84
  4. Step 4: Simplify right side
    783.92x = 243,198.34
  5. Step 5: Solve for x
    x = 243,198.34/783.92
  6. Step 6: Final answer
    x = 310.23

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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.