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Finding the Fourth Proportional to 715.67, 1,067.74 and 637.70

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Solution

The fourth proportional to 715.67, 1,067.74 and 637.70 is: 951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.67 : 1,067.74 = 637.70 : x
  2. Step 2: Convert to fraction form
    715.67/1,067.74 = 637.70/x
  3. Step 3: Cross multiply
    715.67x = 1,067.74 × 637.70
  4. Step 4: Simplify right side
    715.67x = 680,897.80
  5. Step 5: Solve for x
    x = 680,897.80/715.67
  6. Step 6: Final answer
    x = 951.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.