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Finding the Fourth Proportional to 1,144.51, 1,716.62 and 486.48

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Solution

The fourth proportional to 1,144.51, 1,716.62 and 486.48 is: 729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.51 : 1,716.62 = 486.48 : x
  2. Step 2: Convert to fraction form
    1,144.51/1,716.62 = 486.48/x
  3. Step 3: Cross multiply
    1,144.51x = 1,716.62 × 486.48
  4. Step 4: Simplify right side
    1,144.51x = 835,101.30
  5. Step 5: Solve for x
    x = 835,101.30/1,144.51
  6. Step 6: Final answer
    x = 729.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.