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Finding the Fourth Proportional to 816.70, 1,226.26 and 792.40

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Solution

The fourth proportional to 816.70, 1,226.26 and 792.40 is: 1,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.70 : 1,226.26 = 792.40 : x
  2. Step 2: Convert to fraction form
    816.70/1,226.26 = 792.40/x
  3. Step 3: Cross multiply
    816.70x = 1,226.26 × 792.40
  4. Step 4: Simplify right side
    816.70x = 971,688.42
  5. Step 5: Solve for x
    x = 971,688.42/816.70
  6. Step 6: Final answer
    x = 1,189.77

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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.