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Finding the Fourth Proportional to 760.39, 1,141.20 and 395.28

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Solution

The fourth proportional to 760.39, 1,141.20 and 395.28 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.39 : 1,141.20 = 395.28 : x
  2. Step 2: Convert to fraction form
    760.39/1,141.20 = 395.28/x
  3. Step 3: Cross multiply
    760.39x = 1,141.20 × 395.28
  4. Step 4: Simplify right side
    760.39x = 451,093.54
  5. Step 5: Solve for x
    x = 451,093.54/760.39
  6. Step 6: Final answer
    x = 593.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.