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Finding the Fourth Proportional to 764.33, 1,145.80 and 277.03

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Solution

The fourth proportional to 764.33, 1,145.80 and 277.03 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.33 : 1,145.80 = 277.03 : x
  2. Step 2: Convert to fraction form
    764.33/1,145.80 = 277.03/x
  3. Step 3: Cross multiply
    764.33x = 1,145.80 × 277.03
  4. Step 4: Simplify right side
    764.33x = 317,420.97
  5. Step 5: Solve for x
    x = 317,420.97/764.33
  6. Step 6: Final answer
    x = 415.29

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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.