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Finding the Fourth Proportional to 920.94, 1,379.16 and 823.74

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Solution

The fourth proportional to 920.94, 1,379.16 and 823.74 is: 1,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.94 : 1,379.16 = 823.74 : x
  2. Step 2: Convert to fraction form
    920.94/1,379.16 = 823.74/x
  3. Step 3: Cross multiply
    920.94x = 1,379.16 × 823.74
  4. Step 4: Simplify right side
    920.94x = 1,136,069.26
  5. Step 5: Solve for x
    x = 1,136,069.26/920.94
  6. Step 6: Final answer
    x = 1,233.60

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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.