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Finding the Fourth Proportional to 701.46, 966.84 and 596.82

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Solution

The fourth proportional to 701.46, 966.84 and 596.82 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 966.84 = 596.82 : x
  2. Step 2: Convert to fraction form
    701.46/966.84 = 596.82/x
  3. Step 3: Cross multiply
    701.46x = 966.84 × 596.82
  4. Step 4: Simplify right side
    701.46x = 577,025.40
  5. Step 5: Solve for x
    x = 577,025.40/701.46
  6. Step 6: Final answer
    x = 822.61

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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.