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Finding the Fourth Proportional to 873.82, 1,311.27 and 642.14

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Solution

The fourth proportional to 873.82, 1,311.27 and 642.14 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.82 : 1,311.27 = 642.14 : x
  2. Step 2: Convert to fraction form
    873.82/1,311.27 = 642.14/x
  3. Step 3: Cross multiply
    873.82x = 1,311.27 × 642.14
  4. Step 4: Simplify right side
    873.82x = 842,018.92
  5. Step 5: Solve for x
    x = 842,018.92/873.82
  6. Step 6: Final answer
    x = 963.61

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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.