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Finding the Fourth Proportional to 696.86, 1,045.29 and 209.91

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Solution

The fourth proportional to 696.86, 1,045.29 and 209.91 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 1,045.29 = 209.91 : x
  2. Step 2: Convert to fraction form
    696.86/1,045.29 = 209.91/x
  3. Step 3: Cross multiply
    696.86x = 1,045.29 × 209.91
  4. Step 4: Simplify right side
    696.86x = 219,416.82
  5. Step 5: Solve for x
    x = 219,416.82/696.86
  6. Step 6: Final answer
    x = 314.87

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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.