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Finding the Fourth Proportional to 950.45, 1,311.65 and 557.70

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Solution

The fourth proportional to 950.45, 1,311.65 and 557.70 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.45 : 1,311.65 = 557.70 : x
  2. Step 2: Convert to fraction form
    950.45/1,311.65 = 557.70/x
  3. Step 3: Cross multiply
    950.45x = 1,311.65 × 557.70
  4. Step 4: Simplify right side
    950.45x = 731,504.42
  5. Step 5: Solve for x
    x = 731,504.42/950.45
  6. Step 6: Final answer
    x = 769.64

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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.