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Finding the Fourth Proportional to 696.71, 1,045.07 and 209.76

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Solution

The fourth proportional to 696.71, 1,045.07 and 209.76 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.71 : 1,045.07 = 209.76 : x
  2. Step 2: Convert to fraction form
    696.71/1,045.07 = 209.76/x
  3. Step 3: Cross multiply
    696.71x = 1,045.07 × 209.76
  4. Step 4: Simplify right side
    696.71x = 219,212.83
  5. Step 5: Solve for x
    x = 219,212.83/696.71
  6. Step 6: Final answer
    x = 314.64

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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.