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Finding the Fourth Proportional to 696.83, 1,045.39 and 209.93

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Solution

The fourth proportional to 696.83, 1,045.39 and 209.93 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.83 : 1,045.39 = 209.93 : x
  2. Step 2: Convert to fraction form
    696.83/1,045.39 = 209.93/x
  3. Step 3: Cross multiply
    696.83x = 1,045.39 × 209.93
  4. Step 4: Simplify right side
    696.83x = 219,452.97
  5. Step 5: Solve for x
    x = 219,452.97/696.83
  6. Step 6: Final answer
    x = 314.93

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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.