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Finding the Fourth Proportional to 1,360.87, 2,041.17 and 386.98

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Solution

The fourth proportional to 1,360.87, 2,041.17 and 386.98 is: 580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.87 : 2,041.17 = 386.98 : x
  2. Step 2: Convert to fraction form
    1,360.87/2,041.17 = 386.98/x
  3. Step 3: Cross multiply
    1,360.87x = 2,041.17 × 386.98
  4. Step 4: Simplify right side
    1,360.87x = 789,891.97
  5. Step 5: Solve for x
    x = 789,891.97/1,360.87
  6. Step 6: Final answer
    x = 580.43

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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.