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Finding the Fourth Proportional to 696.35, 1,044.89 and 452.99

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Solution

The fourth proportional to 696.35, 1,044.89 and 452.99 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.35 : 1,044.89 = 452.99 : x
  2. Step 2: Convert to fraction form
    696.35/1,044.89 = 452.99/x
  3. Step 3: Cross multiply
    696.35x = 1,044.89 × 452.99
  4. Step 4: Simplify right side
    696.35x = 473,324.72
  5. Step 5: Solve for x
    x = 473,324.72/696.35
  6. Step 6: Final answer
    x = 679.72

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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.