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Finding the Fourth Proportional to 1,165.51, 1,608.33 and 723.25

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Solution

The fourth proportional to 1,165.51, 1,608.33 and 723.25 is: 998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.51 : 1,608.33 = 723.25 : x
  2. Step 2: Convert to fraction form
    1,165.51/1,608.33 = 723.25/x
  3. Step 3: Cross multiply
    1,165.51x = 1,608.33 × 723.25
  4. Step 4: Simplify right side
    1,165.51x = 1,163,224.67
  5. Step 5: Solve for x
    x = 1,163,224.67/1,165.51
  6. Step 6: Final answer
    x = 998.04

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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.