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Finding the Fourth Proportional to 950.94, 1,426.41 and 463.59

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Solution

The fourth proportional to 950.94, 1,426.41 and 463.59 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,426.41 = 463.59 : x
  2. Step 2: Convert to fraction form
    950.94/1,426.41 = 463.59/x
  3. Step 3: Cross multiply
    950.94x = 1,426.41 × 463.59
  4. Step 4: Simplify right side
    950.94x = 661,269.41
  5. Step 5: Solve for x
    x = 661,269.41/950.94
  6. Step 6: Final answer
    x = 695.39

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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.