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Finding the Fourth Proportional to 613.70, 914.21 and 599.30

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Solution

The fourth proportional to 613.70, 914.21 and 599.30 is: 892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.70 : 914.21 = 599.30 : x
  2. Step 2: Convert to fraction form
    613.70/914.21 = 599.30/x
  3. Step 3: Cross multiply
    613.70x = 914.21 × 599.30
  4. Step 4: Simplify right side
    613.70x = 547,886.05
  5. Step 5: Solve for x
    x = 547,886.05/613.70
  6. Step 6: Final answer
    x = 892.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.