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Finding the Fourth Proportional to 696.75, 1,045.16 and 209.81

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Solution

The fourth proportional to 696.75, 1,045.16 and 209.81 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,045.16 = 209.81 : x
  2. Step 2: Convert to fraction form
    696.75/1,045.16 = 209.81/x
  3. Step 3: Cross multiply
    696.75x = 1,045.16 × 209.81
  4. Step 4: Simplify right side
    696.75x = 219,278.74
  5. Step 5: Solve for x
    x = 219,278.74/696.75
  6. Step 6: Final answer
    x = 314.72

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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.