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Finding the Fourth Proportional to 764.44, 1,054.91 and 432.97

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Solution

The fourth proportional to 764.44, 1,054.91 and 432.97 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.44 : 1,054.91 = 432.97 : x
  2. Step 2: Convert to fraction form
    764.44/1,054.91 = 432.97/x
  3. Step 3: Cross multiply
    764.44x = 1,054.91 × 432.97
  4. Step 4: Simplify right side
    764.44x = 456,742.83
  5. Step 5: Solve for x
    x = 456,742.83/764.44
  6. Step 6: Final answer
    x = 597.49

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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.