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Finding the Fourth Proportional to 950.12, 1,426.18 and 540.06

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Solution

The fourth proportional to 950.12, 1,426.18 and 540.06 is: 810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.12 : 1,426.18 = 540.06 : x
  2. Step 2: Convert to fraction form
    950.12/1,426.18 = 540.06/x
  3. Step 3: Cross multiply
    950.12x = 1,426.18 × 540.06
  4. Step 4: Simplify right side
    950.12x = 770,222.77
  5. Step 5: Solve for x
    x = 770,222.77/950.12
  6. Step 6: Final answer
    x = 810.66

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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.