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Finding the Fourth Proportional to 822.35, 1,236.36 and 651.14

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Solution

The fourth proportional to 822.35, 1,236.36 and 651.14 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,236.36 = 651.14 : x
  2. Step 2: Convert to fraction form
    822.35/1,236.36 = 651.14/x
  3. Step 3: Cross multiply
    822.35x = 1,236.36 × 651.14
  4. Step 4: Simplify right side
    822.35x = 805,044.35
  5. Step 5: Solve for x
    x = 805,044.35/822.35
  6. Step 6: Final answer
    x = 978.95

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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.