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Finding the Fourth Proportional to 859.21, 1,291.22 and 512.61

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Solution

The fourth proportional to 859.21, 1,291.22 and 512.61 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.21 : 1,291.22 = 512.61 : x
  2. Step 2: Convert to fraction form
    859.21/1,291.22 = 512.61/x
  3. Step 3: Cross multiply
    859.21x = 1,291.22 × 512.61
  4. Step 4: Simplify right side
    859.21x = 661,892.28
  5. Step 5: Solve for x
    x = 661,892.28/859.21
  6. Step 6: Final answer
    x = 770.35

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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.