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Finding the Fourth Proportional to 922.68, 1,381.23 and 847.98

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Solution

The fourth proportional to 922.68, 1,381.23 and 847.98 is: 1,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.68 : 1,381.23 = 847.98 : x
  2. Step 2: Convert to fraction form
    922.68/1,381.23 = 847.98/x
  3. Step 3: Cross multiply
    922.68x = 1,381.23 × 847.98
  4. Step 4: Simplify right side
    922.68x = 1,171,255.42
  5. Step 5: Solve for x
    x = 1,171,255.42/922.68
  6. Step 6: Final answer
    x = 1,269.41

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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.