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Finding the Fourth Proportional to 1,362.39, 2,044.19 and 541.25

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Solution

The fourth proportional to 1,362.39, 2,044.19 and 541.25 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.39 : 2,044.19 = 541.25 : x
  2. Step 2: Convert to fraction form
    1,362.39/2,044.19 = 541.25/x
  3. Step 3: Cross multiply
    1,362.39x = 2,044.19 × 541.25
  4. Step 4: Simplify right side
    1,362.39x = 1,106,417.84
  5. Step 5: Solve for x
    x = 1,106,417.84/1,362.39
  6. Step 6: Final answer
    x = 812.12

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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.