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Finding the Fourth Proportional to 811.47, 1,216.97 and 578.42

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Solution

The fourth proportional to 811.47, 1,216.97 and 578.42 is: 867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.47 : 1,216.97 = 578.42 : x
  2. Step 2: Convert to fraction form
    811.47/1,216.97 = 578.42/x
  3. Step 3: Cross multiply
    811.47x = 1,216.97 × 578.42
  4. Step 4: Simplify right side
    811.47x = 703,917.37
  5. Step 5: Solve for x
    x = 703,917.37/811.47
  6. Step 6: Final answer
    x = 867.46

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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.