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Finding the Fourth Proportional to 701.94, 968.73 and 577.26

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Solution

The fourth proportional to 701.94, 968.73 and 577.26 is: 796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.94 : 968.73 = 577.26 : x
  2. Step 2: Convert to fraction form
    701.94/968.73 = 577.26/x
  3. Step 3: Cross multiply
    701.94x = 968.73 × 577.26
  4. Step 4: Simplify right side
    701.94x = 559,209.08
  5. Step 5: Solve for x
    x = 559,209.08/701.94
  6. Step 6: Final answer
    x = 796.66

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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.