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Finding the Fourth Proportional to 1,367.11, 2,050.97 and 501.40

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Solution

The fourth proportional to 1,367.11, 2,050.97 and 501.40 is: 752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.11 : 2,050.97 = 501.40 : x
  2. Step 2: Convert to fraction form
    1,367.11/2,050.97 = 501.40/x
  3. Step 3: Cross multiply
    1,367.11x = 2,050.97 × 501.40
  4. Step 4: Simplify right side
    1,367.11x = 1,028,356.36
  5. Step 5: Solve for x
    x = 1,028,356.36/1,367.11
  6. Step 6: Final answer
    x = 752.21

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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.