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Finding the Fourth Proportional to 876.13, 1,314.21 and 822.67

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Solution

The fourth proportional to 876.13, 1,314.21 and 822.67 is: 1,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.13 : 1,314.21 = 822.67 : x
  2. Step 2: Convert to fraction form
    876.13/1,314.21 = 822.67/x
  3. Step 3: Cross multiply
    876.13x = 1,314.21 × 822.67
  4. Step 4: Simplify right side
    876.13x = 1,081,161.14
  5. Step 5: Solve for x
    x = 1,081,161.14/876.13
  6. Step 6: Final answer
    x = 1,234.02

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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.