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Finding the Fourth Proportional to 920.30, 1,268.26 and 657.86

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Solution

The fourth proportional to 920.30, 1,268.26 and 657.86 is: 906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,268.26 = 657.86 : x
  2. Step 2: Convert to fraction form
    920.30/1,268.26 = 657.86/x
  3. Step 3: Cross multiply
    920.30x = 1,268.26 × 657.86
  4. Step 4: Simplify right side
    920.30x = 834,329.54
  5. Step 5: Solve for x
    x = 834,329.54/920.30
  6. Step 6: Final answer
    x = 906.59

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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.