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Finding the Fourth Proportional to 920.43, 1,268.75 and 625.19

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Solution

The fourth proportional to 920.43, 1,268.75 and 625.19 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.43 : 1,268.75 = 625.19 : x
  2. Step 2: Convert to fraction form
    920.43/1,268.75 = 625.19/x
  3. Step 3: Cross multiply
    920.43x = 1,268.75 × 625.19
  4. Step 4: Simplify right side
    920.43x = 793,205.03
  5. Step 5: Solve for x
    x = 793,205.03/920.43
  6. Step 6: Final answer
    x = 861.78

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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.