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Finding the Fourth Proportional to 764.57, 1,054.44 and 484.49

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Solution

The fourth proportional to 764.57, 1,054.44 and 484.49 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.57 : 1,054.44 = 484.49 : x
  2. Step 2: Convert to fraction form
    764.57/1,054.44 = 484.49/x
  3. Step 3: Cross multiply
    764.57x = 1,054.44 × 484.49
  4. Step 4: Simplify right side
    764.57x = 510,860.36
  5. Step 5: Solve for x
    x = 510,860.36/764.57
  6. Step 6: Final answer
    x = 668.17

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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.