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Finding the Fourth Proportional to 920.90, 1,380.45 and 823.70

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Solution

The fourth proportional to 920.90, 1,380.45 and 823.70 is: 1,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.90 : 1,380.45 = 823.70 : x
  2. Step 2: Convert to fraction form
    920.90/1,380.45 = 823.70/x
  3. Step 3: Cross multiply
    920.90x = 1,380.45 × 823.70
  4. Step 4: Simplify right side
    920.90x = 1,137,076.67
  5. Step 5: Solve for x
    x = 1,137,076.67/920.90
  6. Step 6: Final answer
    x = 1,234.74

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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.