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Finding the Fourth Proportional to 866.93, 1,297.82 and 573.86

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Solution

The fourth proportional to 866.93, 1,297.82 and 573.86 is: 859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.93 : 1,297.82 = 573.86 : x
  2. Step 2: Convert to fraction form
    866.93/1,297.82 = 573.86/x
  3. Step 3: Cross multiply
    866.93x = 1,297.82 × 573.86
  4. Step 4: Simplify right side
    866.93x = 744,771.66
  5. Step 5: Solve for x
    x = 744,771.66/866.93
  6. Step 6: Final answer
    x = 859.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.