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Finding the Fourth Proportional to 1,190.98, 1,640.16 and 1,165.54

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Solution

The fourth proportional to 1,190.98, 1,640.16 and 1,165.54 is: 1,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.98 : 1,640.16 = 1,165.54 : x
  2. Step 2: Convert to fraction form
    1,190.98/1,640.16 = 1,165.54/x
  3. Step 3: Cross multiply
    1,190.98x = 1,640.16 × 1,165.54
  4. Step 4: Simplify right side
    1,190.98x = 1,911,672.09
  5. Step 5: Solve for x
    x = 1,911,672.09/1,190.98
  6. Step 6: Final answer
    x = 1,605.13

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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.