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Finding the Fourth Proportional to 950.11, 1,311.13 and 557.03

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Solution

The fourth proportional to 950.11, 1,311.13 and 557.03 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.11 : 1,311.13 = 557.03 : x
  2. Step 2: Convert to fraction form
    950.11/1,311.13 = 557.03/x
  3. Step 3: Cross multiply
    950.11x = 1,311.13 × 557.03
  4. Step 4: Simplify right side
    950.11x = 730,338.74
  5. Step 5: Solve for x
    x = 730,338.74/950.11
  6. Step 6: Final answer
    x = 768.69

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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.