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Finding the Fourth Proportional to 962.68, 1,327.16 and 822.18

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Solution

The fourth proportional to 962.68, 1,327.16 and 822.18 is: 1,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.68 : 1,327.16 = 822.18 : x
  2. Step 2: Convert to fraction form
    962.68/1,327.16 = 822.18/x
  3. Step 3: Cross multiply
    962.68x = 1,327.16 × 822.18
  4. Step 4: Simplify right side
    962.68x = 1,091,164.41
  5. Step 5: Solve for x
    x = 1,091,164.41/962.68
  6. Step 6: Final answer
    x = 1,133.47

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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.