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Finding the Fourth Proportional to 696.51, 1,044.77 and 209.57

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Solution

The fourth proportional to 696.51, 1,044.77 and 209.57 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 1,044.77 = 209.57 : x
  2. Step 2: Convert to fraction form
    696.51/1,044.77 = 209.57/x
  3. Step 3: Cross multiply
    696.51x = 1,044.77 × 209.57
  4. Step 4: Simplify right side
    696.51x = 218,952.45
  5. Step 5: Solve for x
    x = 218,952.45/696.51
  6. Step 6: Final answer
    x = 314.36

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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.