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Finding the Fourth Proportional to 950.76, 1,426.32 and 395.50

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Solution

The fourth proportional to 950.76, 1,426.32 and 395.50 is: 593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,426.32 = 395.50 : x
  2. Step 2: Convert to fraction form
    950.76/1,426.32 = 395.50/x
  3. Step 3: Cross multiply
    950.76x = 1,426.32 × 395.50
  4. Step 4: Simplify right side
    950.76x = 564,109.56
  5. Step 5: Solve for x
    x = 564,109.56/950.76
  6. Step 6: Final answer
    x = 593.32

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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.