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Finding the Fourth Proportional to 949.89, 1,423.46 and 462.39

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Solution

The fourth proportional to 949.89, 1,423.46 and 462.39 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,423.46 = 462.39 : x
  2. Step 2: Convert to fraction form
    949.89/1,423.46 = 462.39/x
  3. Step 3: Cross multiply
    949.89x = 1,423.46 × 462.39
  4. Step 4: Simplify right side
    949.89x = 658,191.36
  5. Step 5: Solve for x
    x = 658,191.36/949.89
  6. Step 6: Final answer
    x = 692.91

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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.