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Finding the Fourth Proportional to 1,367.21, 2,051.01 and 501.32

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Solution

The fourth proportional to 1,367.21, 2,051.01 and 501.32 is: 752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.21 : 2,051.01 = 501.32 : x
  2. Step 2: Convert to fraction form
    1,367.21/2,051.01 = 501.32/x
  3. Step 3: Cross multiply
    1,367.21x = 2,051.01 × 501.32
  4. Step 4: Simplify right side
    1,367.21x = 1,028,212.33
  5. Step 5: Solve for x
    x = 1,028,212.33/1,367.21
  6. Step 6: Final answer
    x = 752.05

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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.