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Finding the Fourth Proportional to 764.73, 1,055.34 and 415.42

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Solution

The fourth proportional to 764.73, 1,055.34 and 415.42 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.73 : 1,055.34 = 415.42 : x
  2. Step 2: Convert to fraction form
    764.73/1,055.34 = 415.42/x
  3. Step 3: Cross multiply
    764.73x = 1,055.34 × 415.42
  4. Step 4: Simplify right side
    764.73x = 438,409.34
  5. Step 5: Solve for x
    x = 438,409.34/764.73
  6. Step 6: Final answer
    x = 573.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.