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Finding the Fourth Proportional to 950.14, 1,310.90 and 557.16

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Solution

The fourth proportional to 950.14, 1,310.90 and 557.16 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,310.90 = 557.16 : x
  2. Step 2: Convert to fraction form
    950.14/1,310.90 = 557.16/x
  3. Step 3: Cross multiply
    950.14x = 1,310.90 × 557.16
  4. Step 4: Simplify right side
    950.14x = 730,381.04
  5. Step 5: Solve for x
    x = 730,381.04/950.14
  6. Step 6: Final answer
    x = 768.71

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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.