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Finding the Fourth Proportional to 1,466.03, 2,195.85 and 734.33

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Solution

The fourth proportional to 1,466.03, 2,195.85 and 734.33 is: 1,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.03 : 2,195.85 = 734.33 : x
  2. Step 2: Convert to fraction form
    1,466.03/2,195.85 = 734.33/x
  3. Step 3: Cross multiply
    1,466.03x = 2,195.85 × 734.33
  4. Step 4: Simplify right side
    1,466.03x = 1,612,478.53
  5. Step 5: Solve for x
    x = 1,612,478.53/1,466.03
  6. Step 6: Final answer
    x = 1,099.89

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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.