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Finding the Fourth Proportional to 969.35, 1,453.95 and 557.19

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Solution

The fourth proportional to 969.35, 1,453.95 and 557.19 is: 835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,453.95 = 557.19 : x
  2. Step 2: Convert to fraction form
    969.35/1,453.95 = 557.19/x
  3. Step 3: Cross multiply
    969.35x = 1,453.95 × 557.19
  4. Step 4: Simplify right side
    969.35x = 810,126.40
  5. Step 5: Solve for x
    x = 810,126.40/969.35
  6. Step 6: Final answer
    x = 835.75

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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.