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Finding the Fourth Proportional to 1,165.26, 1,608.30 and 723.45

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Solution

The fourth proportional to 1,165.26, 1,608.30 and 723.45 is: 998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.26 : 1,608.30 = 723.45 : x
  2. Step 2: Convert to fraction form
    1,165.26/1,608.30 = 723.45/x
  3. Step 3: Cross multiply
    1,165.26x = 1,608.30 × 723.45
  4. Step 4: Simplify right side
    1,165.26x = 1,163,524.64
  5. Step 5: Solve for x
    x = 1,163,524.64/1,165.26
  6. Step 6: Final answer
    x = 998.51

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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.