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Finding the Fourth Proportional to 764.33, 1,146.50 and 677.46

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Solution

The fourth proportional to 764.33, 1,146.50 and 677.46 is: 1,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.33 : 1,146.50 = 677.46 : x
  2. Step 2: Convert to fraction form
    764.33/1,146.50 = 677.46/x
  3. Step 3: Cross multiply
    764.33x = 1,146.50 × 677.46
  4. Step 4: Simplify right side
    764.33x = 776,704.50
  5. Step 5: Solve for x
    x = 776,704.50/764.33
  6. Step 6: Final answer
    x = 1,016.19

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Why These Related Problems?

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