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Finding the Fourth Proportional to 950.36, 1,311.74 and 577.54

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Solution

The fourth proportional to 950.36, 1,311.74 and 577.54 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.36 : 1,311.74 = 577.54 : x
  2. Step 2: Convert to fraction form
    950.36/1,311.74 = 577.54/x
  3. Step 3: Cross multiply
    950.36x = 1,311.74 × 577.54
  4. Step 4: Simplify right side
    950.36x = 757,588.33
  5. Step 5: Solve for x
    x = 757,588.33/950.36
  6. Step 6: Final answer
    x = 797.16

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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.