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Finding the Fourth Proportional to 647.22, 892.91 and 507.09

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Solution

The fourth proportional to 647.22, 892.91 and 507.09 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 892.91 = 507.09 : x
  2. Step 2: Convert to fraction form
    647.22/892.91 = 507.09/x
  3. Step 3: Cross multiply
    647.22x = 892.91 × 507.09
  4. Step 4: Simplify right side
    647.22x = 452,785.73
  5. Step 5: Solve for x
    x = 452,785.73/647.22
  6. Step 6: Final answer
    x = 699.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.