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Finding the Fourth Proportional to 670.87, 1,007.52 and 640.09

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Solution

The fourth proportional to 670.87, 1,007.52 and 640.09 is: 961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 1,007.52 = 640.09 : x
  2. Step 2: Convert to fraction form
    670.87/1,007.52 = 640.09/x
  3. Step 3: Cross multiply
    670.87x = 1,007.52 × 640.09
  4. Step 4: Simplify right side
    670.87x = 644,903.48
  5. Step 5: Solve for x
    x = 644,903.48/670.87
  6. Step 6: Final answer
    x = 961.29

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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.