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Finding the Fourth Proportional to 1,219.35, 1,827.87 and 397.05

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Solution

The fourth proportional to 1,219.35, 1,827.87 and 397.05 is: 595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.35 : 1,827.87 = 397.05 : x
  2. Step 2: Convert to fraction form
    1,219.35/1,827.87 = 397.05/x
  3. Step 3: Cross multiply
    1,219.35x = 1,827.87 × 397.05
  4. Step 4: Simplify right side
    1,219.35x = 725,755.78
  5. Step 5: Solve for x
    x = 725,755.78/1,219.35
  6. Step 6: Final answer
    x = 595.20

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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.