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Finding the Fourth Proportional to 696.29, 1,044.59 and 209.34

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Solution

The fourth proportional to 696.29, 1,044.59 and 209.34 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.29 : 1,044.59 = 209.34 : x
  2. Step 2: Convert to fraction form
    696.29/1,044.59 = 209.34/x
  3. Step 3: Cross multiply
    696.29x = 1,044.59 × 209.34
  4. Step 4: Simplify right side
    696.29x = 218,673.42
  5. Step 5: Solve for x
    x = 218,673.42/696.29
  6. Step 6: Final answer
    x = 314.06

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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.