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Finding the Fourth Proportional to 764.52, 1,055.39 and 578.04

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Solution

The fourth proportional to 764.52, 1,055.39 and 578.04 is: 797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.52 : 1,055.39 = 578.04 : x
  2. Step 2: Convert to fraction form
    764.52/1,055.39 = 578.04/x
  3. Step 3: Cross multiply
    764.52x = 1,055.39 × 578.04
  4. Step 4: Simplify right side
    764.52x = 610,054.75
  5. Step 5: Solve for x
    x = 610,054.75/764.52
  6. Step 6: Final answer
    x = 797.96

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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.