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Finding the Fourth Proportional to 1,362.68, 2,044.22 and 541.04

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Solution

The fourth proportional to 1,362.68, 2,044.22 and 541.04 is: 811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.68 : 2,044.22 = 541.04 : x
  2. Step 2: Convert to fraction form
    1,362.68/2,044.22 = 541.04/x
  3. Step 3: Cross multiply
    1,362.68x = 2,044.22 × 541.04
  4. Step 4: Simplify right side
    1,362.68x = 1,106,007.19
  5. Step 5: Solve for x
    x = 1,106,007.19/1,362.68
  6. Step 6: Final answer
    x = 811.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.