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Finding the Fourth Proportional to 847.46, 1,270.47 and 822.98

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Solution

The fourth proportional to 847.46, 1,270.47 and 822.98 is: 1,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.46 : 1,270.47 = 822.98 : x
  2. Step 2: Convert to fraction form
    847.46/1,270.47 = 822.98/x
  3. Step 3: Cross multiply
    847.46x = 1,270.47 × 822.98
  4. Step 4: Simplify right side
    847.46x = 1,045,571.40
  5. Step 5: Solve for x
    x = 1,045,571.40/847.46
  6. Step 6: Final answer
    x = 1,233.77

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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.