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Finding the Fourth Proportional to 1,145.21, 1,716.75 and 452.26

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Solution

The fourth proportional to 1,145.21, 1,716.75 and 452.26 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.21 : 1,716.75 = 452.26 : x
  2. Step 2: Convert to fraction form
    1,145.21/1,716.75 = 452.26/x
  3. Step 3: Cross multiply
    1,145.21x = 1,716.75 × 452.26
  4. Step 4: Simplify right side
    1,145.21x = 776,408.77
  5. Step 5: Solve for x
    x = 776,408.77/1,145.21
  6. Step 6: Final answer
    x = 677.96

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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.