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Finding the Fourth Proportional to 1,230.18, 1,845.29 and 364.48

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Solution

The fourth proportional to 1,230.18, 1,845.29 and 364.48 is: 546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.18 : 1,845.29 = 364.48 : x
  2. Step 2: Convert to fraction form
    1,230.18/1,845.29 = 364.48/x
  3. Step 3: Cross multiply
    1,230.18x = 1,845.29 × 364.48
  4. Step 4: Simplify right side
    1,230.18x = 672,571.30
  5. Step 5: Solve for x
    x = 672,571.30/1,230.18
  6. Step 6: Final answer
    x = 546.73

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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.