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Finding the Fourth Proportional to 950.70, 1,426.08 and 402.12

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Solution

The fourth proportional to 950.70, 1,426.08 and 402.12 is: 603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,426.08 = 402.12 : x
  2. Step 2: Convert to fraction form
    950.70/1,426.08 = 402.12/x
  3. Step 3: Cross multiply
    950.70x = 1,426.08 × 402.12
  4. Step 4: Simplify right side
    950.70x = 573,455.29
  5. Step 5: Solve for x
    x = 573,455.29/950.70
  6. Step 6: Final answer
    x = 603.19

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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.