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Finding the Fourth Proportional to 950.05, 1,420.06 and 825.67

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Solution

The fourth proportional to 950.05, 1,420.06 and 825.67 is: 1,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.05 : 1,420.06 = 825.67 : x
  2. Step 2: Convert to fraction form
    950.05/1,420.06 = 825.67/x
  3. Step 3: Cross multiply
    950.05x = 1,420.06 × 825.67
  4. Step 4: Simplify right side
    950.05x = 1,172,500.94
  5. Step 5: Solve for x
    x = 1,172,500.94/950.05
  6. Step 6: Final answer
    x = 1,234.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.