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Finding the Fourth Proportional to 1,367.26, 2,050.66 and 501.58

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Solution

The fourth proportional to 1,367.26, 2,050.66 and 501.58 is: 752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.26 : 2,050.66 = 501.58 : x
  2. Step 2: Convert to fraction form
    1,367.26/2,050.66 = 501.58/x
  3. Step 3: Cross multiply
    1,367.26x = 2,050.66 × 501.58
  4. Step 4: Simplify right side
    1,367.26x = 1,028,570.04
  5. Step 5: Solve for x
    x = 1,028,570.04/1,367.26
  6. Step 6: Final answer
    x = 752.29

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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.