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Finding the Fourth Proportional to 764.75, 1,055.96 and 499.37

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Solution

The fourth proportional to 764.75, 1,055.96 and 499.37 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.75 : 1,055.96 = 499.37 : x
  2. Step 2: Convert to fraction form
    764.75/1,055.96 = 499.37/x
  3. Step 3: Cross multiply
    764.75x = 1,055.96 × 499.37
  4. Step 4: Simplify right side
    764.75x = 527,316.76
  5. Step 5: Solve for x
    x = 527,316.76/764.75
  6. Step 6: Final answer
    x = 689.53

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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.