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Finding the Fourth Proportional to 949.32, 1,310.07 and 556.38

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Solution

The fourth proportional to 949.32, 1,310.07 and 556.38 is: 767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.32 : 1,310.07 = 556.38 : x
  2. Step 2: Convert to fraction form
    949.32/1,310.07 = 556.38/x
  3. Step 3: Cross multiply
    949.32x = 1,310.07 × 556.38
  4. Step 4: Simplify right side
    949.32x = 728,896.75
  5. Step 5: Solve for x
    x = 728,896.75/949.32
  6. Step 6: Final answer
    x = 767.81

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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.