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Finding the Fourth Proportional to 962.36, 1,327.66 and 613.24

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Solution

The fourth proportional to 962.36, 1,327.66 and 613.24 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.36 : 1,327.66 = 613.24 : x
  2. Step 2: Convert to fraction form
    962.36/1,327.66 = 613.24/x
  3. Step 3: Cross multiply
    962.36x = 1,327.66 × 613.24
  4. Step 4: Simplify right side
    962.36x = 814,174.22
  5. Step 5: Solve for x
    x = 814,174.22/962.36
  6. Step 6: Final answer
    x = 846.02

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