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Finding the Fourth Proportional to 1,367.11, 2,050.97 and 442.76

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Solution

The fourth proportional to 1,367.11, 2,050.97 and 442.76 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.11 : 2,050.97 = 442.76 : x
  2. Step 2: Convert to fraction form
    1,367.11/2,050.97 = 442.76/x
  3. Step 3: Cross multiply
    1,367.11x = 2,050.97 × 442.76
  4. Step 4: Simplify right side
    1,367.11x = 908,085.26
  5. Step 5: Solve for x
    x = 908,085.26/1,367.11
  6. Step 6: Final answer
    x = 664.24

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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.