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Finding the Fourth Proportional to 962.53, 1,324.81 and 822.17

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Solution

The fourth proportional to 962.53, 1,324.81 and 822.17 is: 1,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.53 : 1,324.81 = 822.17 : x
  2. Step 2: Convert to fraction form
    962.53/1,324.81 = 822.17/x
  3. Step 3: Cross multiply
    962.53x = 1,324.81 × 822.17
  4. Step 4: Simplify right side
    962.53x = 1,089,219.04
  5. Step 5: Solve for x
    x = 1,089,219.04/962.53
  6. Step 6: Final answer
    x = 1,131.62

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Why These Related Problems?

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