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Finding the Fourth Proportional to 950.39, 1,311.22 and 557.14

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Solution

The fourth proportional to 950.39, 1,311.22 and 557.14 is: 768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.39 : 1,311.22 = 557.14 : x
  2. Step 2: Convert to fraction form
    950.39/1,311.22 = 557.14/x
  3. Step 3: Cross multiply
    950.39x = 1,311.22 × 557.14
  4. Step 4: Simplify right side
    950.39x = 730,533.11
  5. Step 5: Solve for x
    x = 730,533.11/950.39
  6. Step 6: Final answer
    x = 768.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.