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Finding the Fourth Proportional to 760.82, 1,142.44 and 712.22

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Solution

The fourth proportional to 760.82, 1,142.44 and 712.22 is: 1,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.82 : 1,142.44 = 712.22 : x
  2. Step 2: Convert to fraction form
    760.82/1,142.44 = 712.22/x
  3. Step 3: Cross multiply
    760.82x = 1,142.44 × 712.22
  4. Step 4: Simplify right side
    760.82x = 813,661.12
  5. Step 5: Solve for x
    x = 813,661.12/760.82
  6. Step 6: Final answer
    x = 1,069.46

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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.