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Finding the Fourth Proportional to 950.59, 1,426.19 and 402.92

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Solution

The fourth proportional to 950.59, 1,426.19 and 402.92 is: 604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.59 : 1,426.19 = 402.92 : x
  2. Step 2: Convert to fraction form
    950.59/1,426.19 = 402.92/x
  3. Step 3: Cross multiply
    950.59x = 1,426.19 × 402.92
  4. Step 4: Simplify right side
    950.59x = 574,631.33
  5. Step 5: Solve for x
    x = 574,631.33/950.59
  6. Step 6: Final answer
    x = 604.50

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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.