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Finding the Fourth Proportional to 696.19, 1,044.28 and 183.19

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Solution

The fourth proportional to 696.19, 1,044.28 and 183.19 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 1,044.28 = 183.19 : x
  2. Step 2: Convert to fraction form
    696.19/1,044.28 = 183.19/x
  3. Step 3: Cross multiply
    696.19x = 1,044.28 × 183.19
  4. Step 4: Simplify right side
    696.19x = 191,299.27
  5. Step 5: Solve for x
    x = 191,299.27/696.19
  6. Step 6: Final answer
    x = 274.78

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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.