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Finding the Fourth Proportional to 949.32, 1,423.17 and 640.31

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Solution

The fourth proportional to 949.32, 1,423.17 and 640.31 is: 959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.32 : 1,423.17 = 640.31 : x
  2. Step 2: Convert to fraction form
    949.32/1,423.17 = 640.31/x
  3. Step 3: Cross multiply
    949.32x = 1,423.17 × 640.31
  4. Step 4: Simplify right side
    949.32x = 911,262.87
  5. Step 5: Solve for x
    x = 911,262.87/949.32
  6. Step 6: Final answer
    x = 959.91

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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.