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Finding the Fourth Proportional to 950.70, 1,311.54 and 557.46

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Solution

The fourth proportional to 950.70, 1,311.54 and 557.46 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,311.54 = 557.46 : x
  2. Step 2: Convert to fraction form
    950.70/1,311.54 = 557.46/x
  3. Step 3: Cross multiply
    950.70x = 1,311.54 × 557.46
  4. Step 4: Simplify right side
    950.70x = 731,131.09
  5. Step 5: Solve for x
    x = 731,131.09/950.70
  6. Step 6: Final answer
    x = 769.05

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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.