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Finding the Fourth Proportional to 816.91, 1,222.29 and 486.63

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Solution

The fourth proportional to 816.91, 1,222.29 and 486.63 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.91 : 1,222.29 = 486.63 : x
  2. Step 2: Convert to fraction form
    816.91/1,222.29 = 486.63/x
  3. Step 3: Cross multiply
    816.91x = 1,222.29 × 486.63
  4. Step 4: Simplify right side
    816.91x = 594,802.98
  5. Step 5: Solve for x
    x = 594,802.98/816.91
  6. Step 6: Final answer
    x = 728.11

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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.