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Finding the Fourth Proportional to 1,214.20, 1,818.56 and 563.56

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Solution

The fourth proportional to 1,214.20, 1,818.56 and 563.56 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.20 : 1,818.56 = 563.56 : x
  2. Step 2: Convert to fraction form
    1,214.20/1,818.56 = 563.56/x
  3. Step 3: Cross multiply
    1,214.20x = 1,818.56 × 563.56
  4. Step 4: Simplify right side
    1,214.20x = 1,024,867.67
  5. Step 5: Solve for x
    x = 1,024,867.67/1,214.20
  6. Step 6: Final answer
    x = 844.07

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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.