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Finding the Fourth Proportional to 949.12, 1,423.14 and 461.56

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Solution

The fourth proportional to 949.12, 1,423.14 and 461.56 is: 692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.12 : 1,423.14 = 461.56 : x
  2. Step 2: Convert to fraction form
    949.12/1,423.14 = 461.56/x
  3. Step 3: Cross multiply
    949.12x = 1,423.14 × 461.56
  4. Step 4: Simplify right side
    949.12x = 656,864.50
  5. Step 5: Solve for x
    x = 656,864.50/949.12
  6. Step 6: Final answer
    x = 692.08

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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.