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Finding the Fourth Proportional to 969.06, 1,337.41 and 549.53

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Solution

The fourth proportional to 969.06, 1,337.41 and 549.53 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,337.41 = 549.53 : x
  2. Step 2: Convert to fraction form
    969.06/1,337.41 = 549.53/x
  3. Step 3: Cross multiply
    969.06x = 1,337.41 × 549.53
  4. Step 4: Simplify right side
    969.06x = 734,946.92
  5. Step 5: Solve for x
    x = 734,946.92/969.06
  6. Step 6: Final answer
    x = 758.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.