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Finding the Fourth Proportional to 950.68, 1,426.18 and 463.96

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Solution

The fourth proportional to 950.68, 1,426.18 and 463.96 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.68 : 1,426.18 = 463.96 : x
  2. Step 2: Convert to fraction form
    950.68/1,426.18 = 463.96/x
  3. Step 3: Cross multiply
    950.68x = 1,426.18 × 463.96
  4. Step 4: Simplify right side
    950.68x = 661,690.47
  5. Step 5: Solve for x
    x = 661,690.47/950.68
  6. Step 6: Final answer
    x = 696.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.