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Finding the Fourth Proportional to 969.55, 1,454.34 and 741.31

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Solution

The fourth proportional to 969.55, 1,454.34 and 741.31 is: 1,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.55 : 1,454.34 = 741.31 : x
  2. Step 2: Convert to fraction form
    969.55/1,454.34 = 741.31/x
  3. Step 3: Cross multiply
    969.55x = 1,454.34 × 741.31
  4. Step 4: Simplify right side
    969.55x = 1,078,116.79
  5. Step 5: Solve for x
    x = 1,078,116.79/969.55
  6. Step 6: Final answer
    x = 1,111.98

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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.