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Finding the Fourth Proportional to 1,165.76, 1,608.78 and 668.51

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Solution

The fourth proportional to 1,165.76, 1,608.78 and 668.51 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.76 : 1,608.78 = 668.51 : x
  2. Step 2: Convert to fraction form
    1,165.76/1,608.78 = 668.51/x
  3. Step 3: Cross multiply
    1,165.76x = 1,608.78 × 668.51
  4. Step 4: Simplify right side
    1,165.76x = 1,075,485.52
  5. Step 5: Solve for x
    x = 1,075,485.52/1,165.76
  6. Step 6: Final answer
    x = 922.56

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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.