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Finding the Fourth Proportional to 949.89, 1,311.09 and 635.70

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Solution

The fourth proportional to 949.89, 1,311.09 and 635.70 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,311.09 = 635.70 : x
  2. Step 2: Convert to fraction form
    949.89/1,311.09 = 635.70/x
  3. Step 3: Cross multiply
    949.89x = 1,311.09 × 635.70
  4. Step 4: Simplify right side
    949.89x = 833,459.91
  5. Step 5: Solve for x
    x = 833,459.91/949.89
  6. Step 6: Final answer
    x = 877.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.