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Finding the Fourth Proportional to 764.73, 1,055.26 and 433.21

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Solution

The fourth proportional to 764.73, 1,055.26 and 433.21 is: 597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.73 : 1,055.26 = 433.21 : x
  2. Step 2: Convert to fraction form
    764.73/1,055.26 = 433.21/x
  3. Step 3: Cross multiply
    764.73x = 1,055.26 × 433.21
  4. Step 4: Simplify right side
    764.73x = 457,149.18
  5. Step 5: Solve for x
    x = 457,149.18/764.73
  6. Step 6: Final answer
    x = 597.79

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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.