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Finding the Fourth Proportional to 699.73, 1,049.35 and 206

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Solution

The fourth proportional to 699.73, 1,049.35 and 206 is: 308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.73 : 1,049.35 = 206 : x
  2. Step 2: Convert to fraction form
    699.73/1,049.35 = 206/x
  3. Step 3: Cross multiply
    699.73x = 1,049.35 × 206
  4. Step 4: Simplify right side
    699.73x = 216,166.10
  5. Step 5: Solve for x
    x = 216,166.10/699.73
  6. Step 6: Final answer
    x = 308.93

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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.