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Finding the Fourth Proportional to 1,215.79, 1,822.60 and 446.11

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Solution

The fourth proportional to 1,215.79, 1,822.60 and 446.11 is: 668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.79 : 1,822.60 = 446.11 : x
  2. Step 2: Convert to fraction form
    1,215.79/1,822.60 = 446.11/x
  3. Step 3: Cross multiply
    1,215.79x = 1,822.60 × 446.11
  4. Step 4: Simplify right side
    1,215.79x = 813,080.09
  5. Step 5: Solve for x
    x = 813,080.09/1,215.79
  6. Step 6: Final answer
    x = 668.77

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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.