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Finding the Fourth Proportional to 696.46, 1,044.68 and 209.52

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Solution

The fourth proportional to 696.46, 1,044.68 and 209.52 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,044.68 = 209.52 : x
  2. Step 2: Convert to fraction form
    696.46/1,044.68 = 209.52/x
  3. Step 3: Cross multiply
    696.46x = 1,044.68 × 209.52
  4. Step 4: Simplify right side
    696.46x = 218,881.35
  5. Step 5: Solve for x
    x = 218,881.35/696.46
  6. Step 6: Final answer
    x = 314.28

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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.