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Finding the Fourth Proportional to 950.99, 1,426.76 and 464.31

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Solution

The fourth proportional to 950.99, 1,426.76 and 464.31 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.99 : 1,426.76 = 464.31 : x
  2. Step 2: Convert to fraction form
    950.99/1,426.76 = 464.31/x
  3. Step 3: Cross multiply
    950.99x = 1,426.76 × 464.31
  4. Step 4: Simplify right side
    950.99x = 662,456.61
  5. Step 5: Solve for x
    x = 662,456.61/950.99
  6. Step 6: Final answer
    x = 696.60

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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.