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Finding the Fourth Proportional to 601.70, 834.14 and 568.86

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Solution

The fourth proportional to 601.70, 834.14 and 568.86 is: 788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.70 : 834.14 = 568.86 : x
  2. Step 2: Convert to fraction form
    601.70/834.14 = 568.86/x
  3. Step 3: Cross multiply
    601.70x = 834.14 × 568.86
  4. Step 4: Simplify right side
    601.70x = 474,508.88
  5. Step 5: Solve for x
    x = 474,508.88/601.70
  6. Step 6: Final answer
    x = 788.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.