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Finding the Fourth Proportional to 949.29, 1,423.08 and 462.12

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Solution

The fourth proportional to 949.29, 1,423.08 and 462.12 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.29 : 1,423.08 = 462.12 : x
  2. Step 2: Convert to fraction form
    949.29/1,423.08 = 462.12/x
  3. Step 3: Cross multiply
    949.29x = 1,423.08 × 462.12
  4. Step 4: Simplify right side
    949.29x = 657,633.73
  5. Step 5: Solve for x
    x = 657,633.73/949.29
  6. Step 6: Final answer
    x = 692.76

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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.