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Finding the Fourth Proportional to 701.93, 968.09 and 597.31

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Solution

The fourth proportional to 701.93, 968.09 and 597.31 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 968.09 = 597.31 : x
  2. Step 2: Convert to fraction form
    701.93/968.09 = 597.31/x
  3. Step 3: Cross multiply
    701.93x = 968.09 × 597.31
  4. Step 4: Simplify right side
    701.93x = 578,244.43
  5. Step 5: Solve for x
    x = 578,244.43/701.93
  6. Step 6: Final answer
    x = 823.79

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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.