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Finding the Fourth Proportional to 701.97, 968.77 and 407.24

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Solution

The fourth proportional to 701.97, 968.77 and 407.24 is: 562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.97 : 968.77 = 407.24 : x
  2. Step 2: Convert to fraction form
    701.97/968.77 = 407.24/x
  3. Step 3: Cross multiply
    701.97x = 968.77 × 407.24
  4. Step 4: Simplify right side
    701.97x = 394,521.89
  5. Step 5: Solve for x
    x = 394,521.89/701.97
  6. Step 6: Final answer
    x = 562.02

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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.