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Finding the Fourth Proportional to 764.50, 1,146.90 and 277.57

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Solution

The fourth proportional to 764.50, 1,146.90 and 277.57 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,146.90 = 277.57 : x
  2. Step 2: Convert to fraction form
    764.50/1,146.90 = 277.57/x
  3. Step 3: Cross multiply
    764.50x = 1,146.90 × 277.57
  4. Step 4: Simplify right side
    764.50x = 318,345.03
  5. Step 5: Solve for x
    x = 318,345.03/764.50
  6. Step 6: Final answer
    x = 416.41

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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.