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Finding the Fourth Proportional to 764.32, 1,054.56 and 578.44

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Solution

The fourth proportional to 764.32, 1,054.56 and 578.44 is: 798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.32 : 1,054.56 = 578.44 : x
  2. Step 2: Convert to fraction form
    764.32/1,054.56 = 578.44/x
  3. Step 3: Cross multiply
    764.32x = 1,054.56 × 578.44
  4. Step 4: Simplify right side
    764.32x = 609,999.69
  5. Step 5: Solve for x
    x = 609,999.69/764.32
  6. Step 6: Final answer
    x = 798.09

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