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Finding the Fourth Proportional to 818.19, 1,224.83 and 612.25

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Solution

The fourth proportional to 818.19, 1,224.83 and 612.25 is: 916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.19 : 1,224.83 = 612.25 : x
  2. Step 2: Convert to fraction form
    818.19/1,224.83 = 612.25/x
  3. Step 3: Cross multiply
    818.19x = 1,224.83 × 612.25
  4. Step 4: Simplify right side
    818.19x = 749,892.98
  5. Step 5: Solve for x
    x = 749,892.98/818.19
  6. Step 6: Final answer
    x = 916.53

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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.