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Finding the Fourth Proportional to 764.46, 1,146.29 and 277.31

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Solution

The fourth proportional to 764.46, 1,146.29 and 277.31 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,146.29 = 277.31 : x
  2. Step 2: Convert to fraction form
    764.46/1,146.29 = 277.31/x
  3. Step 3: Cross multiply
    764.46x = 1,146.29 × 277.31
  4. Step 4: Simplify right side
    764.46x = 317,879.16
  5. Step 5: Solve for x
    x = 317,879.16/764.46
  6. Step 6: Final answer
    x = 415.82

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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.