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Finding the Fourth Proportional to 969.12, 1,453.77 and 557.46

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Solution

The fourth proportional to 969.12, 1,453.77 and 557.46 is: 836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,453.77 = 557.46 : x
  2. Step 2: Convert to fraction form
    969.12/1,453.77 = 557.46/x
  3. Step 3: Cross multiply
    969.12x = 1,453.77 × 557.46
  4. Step 4: Simplify right side
    969.12x = 810,418.62
  5. Step 5: Solve for x
    x = 810,418.62/969.12
  6. Step 6: Final answer
    x = 836.24

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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.