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Finding the Fourth Proportional to 950.11, 1,424.08 and 462.04

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Solution

The fourth proportional to 950.11, 1,424.08 and 462.04 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.11 : 1,424.08 = 462.04 : x
  2. Step 2: Convert to fraction form
    950.11/1,424.08 = 462.04/x
  3. Step 3: Cross multiply
    950.11x = 1,424.08 × 462.04
  4. Step 4: Simplify right side
    950.11x = 657,978.94
  5. Step 5: Solve for x
    x = 657,978.94/950.11
  6. Step 6: Final answer
    x = 692.53

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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.