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Finding the Fourth Proportional to 1,362.17, 2,042.75 and 540.56

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Solution

The fourth proportional to 1,362.17, 2,042.75 and 540.56 is: 810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.17 : 2,042.75 = 540.56 : x
  2. Step 2: Convert to fraction form
    1,362.17/2,042.75 = 540.56/x
  3. Step 3: Cross multiply
    1,362.17x = 2,042.75 × 540.56
  4. Step 4: Simplify right side
    1,362.17x = 1,104,235.40
  5. Step 5: Solve for x
    x = 1,104,235.40/1,362.17
  6. Step 6: Final answer
    x = 810.64

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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.