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Finding the Fourth Proportional to 823.94, 1,136.97 and 474.63

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Solution

The fourth proportional to 823.94, 1,136.97 and 474.63 is: 654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,136.97 = 474.63 : x
  2. Step 2: Convert to fraction form
    823.94/1,136.97 = 474.63/x
  3. Step 3: Cross multiply
    823.94x = 1,136.97 × 474.63
  4. Step 4: Simplify right side
    823.94x = 539,635.81
  5. Step 5: Solve for x
    x = 539,635.81/823.94
  6. Step 6: Final answer
    x = 654.95

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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.