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Finding the Fourth Proportional to 950.90, 1,426.68 and 464.22

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Solution

The fourth proportional to 950.90, 1,426.68 and 464.22 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.90 : 1,426.68 = 464.22 : x
  2. Step 2: Convert to fraction form
    950.90/1,426.68 = 464.22/x
  3. Step 3: Cross multiply
    950.90x = 1,426.68 × 464.22
  4. Step 4: Simplify right side
    950.90x = 662,293.39
  5. Step 5: Solve for x
    x = 662,293.39/950.90
  6. Step 6: Final answer
    x = 696.49

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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.