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Finding the Fourth Proportional to 949.20, 1,423.62 and 461.94

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Solution

The fourth proportional to 949.20, 1,423.62 and 461.94 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.20 : 1,423.62 = 461.94 : x
  2. Step 2: Convert to fraction form
    949.20/1,423.62 = 461.94/x
  3. Step 3: Cross multiply
    949.20x = 1,423.62 × 461.94
  4. Step 4: Simplify right side
    949.20x = 657,627.02
  5. Step 5: Solve for x
    x = 657,627.02/949.20
  6. Step 6: Final answer
    x = 692.82

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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.