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Finding the Fourth Proportional to 696.78, 1,045.32 and 209.84

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Solution

The fourth proportional to 696.78, 1,045.32 and 209.84 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.78 : 1,045.32 = 209.84 : x
  2. Step 2: Convert to fraction form
    696.78/1,045.32 = 209.84/x
  3. Step 3: Cross multiply
    696.78x = 1,045.32 × 209.84
  4. Step 4: Simplify right side
    696.78x = 219,344.72
  5. Step 5: Solve for x
    x = 219,344.72/696.78
  6. Step 6: Final answer
    x = 314.80

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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.