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Finding the Fourth Proportional to 950.66, 1,426.17 and 402.83

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Solution

The fourth proportional to 950.66, 1,426.17 and 402.83 is: 604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.66 : 1,426.17 = 402.83 : x
  2. Step 2: Convert to fraction form
    950.66/1,426.17 = 402.83/x
  3. Step 3: Cross multiply
    950.66x = 1,426.17 × 402.83
  4. Step 4: Simplify right side
    950.66x = 574,496.93
  5. Step 5: Solve for x
    x = 574,496.93/950.66
  6. Step 6: Final answer
    x = 604.32

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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.