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Finding the Fourth Proportional to 1,172.57, 1,618.12 and 668.51

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Solution

The fourth proportional to 1,172.57, 1,618.12 and 668.51 is: 922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.57 : 1,618.12 = 668.51 : x
  2. Step 2: Convert to fraction form
    1,172.57/1,618.12 = 668.51/x
  3. Step 3: Cross multiply
    1,172.57x = 1,618.12 × 668.51
  4. Step 4: Simplify right side
    1,172.57x = 1,081,729.40
  5. Step 5: Solve for x
    x = 1,081,729.40/1,172.57
  6. Step 6: Final answer
    x = 922.53

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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.