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Finding the Fourth Proportional to 822.94, 1,136.62 and 676.06

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Solution

The fourth proportional to 822.94, 1,136.62 and 676.06 is: 933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.94 : 1,136.62 = 676.06 : x
  2. Step 2: Convert to fraction form
    822.94/1,136.62 = 676.06/x
  3. Step 3: Cross multiply
    822.94x = 1,136.62 × 676.06
  4. Step 4: Simplify right side
    822.94x = 768,423.32
  5. Step 5: Solve for x
    x = 768,423.32/822.94
  6. Step 6: Final answer
    x = 933.75

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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.