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Finding the Fourth Proportional to 969.42, 1,454.10 and 531.03

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Solution

The fourth proportional to 969.42, 1,454.10 and 531.03 is: 796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,454.10 = 531.03 : x
  2. Step 2: Convert to fraction form
    969.42/1,454.10 = 531.03/x
  3. Step 3: Cross multiply
    969.42x = 1,454.10 × 531.03
  4. Step 4: Simplify right side
    969.42x = 772,170.72
  5. Step 5: Solve for x
    x = 772,170.72/969.42
  6. Step 6: Final answer
    x = 796.53

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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.