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Finding the Fourth Proportional to 1,362.33, 2,041.97 and 539.98

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Solution

The fourth proportional to 1,362.33, 2,041.97 and 539.98 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.33 : 2,041.97 = 539.98 : x
  2. Step 2: Convert to fraction form
    1,362.33/2,041.97 = 539.98/x
  3. Step 3: Cross multiply
    1,362.33x = 2,041.97 × 539.98
  4. Step 4: Simplify right side
    1,362.33x = 1,102,622.96
  5. Step 5: Solve for x
    x = 1,102,622.96/1,362.33
  6. Step 6: Final answer
    x = 809.37

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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.