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Finding the Fourth Proportional to 816.26, 1,226.91 and 529.70

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Solution

The fourth proportional to 816.26, 1,226.91 and 529.70 is: 796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,226.91 = 529.70 : x
  2. Step 2: Convert to fraction form
    816.26/1,226.91 = 529.70/x
  3. Step 3: Cross multiply
    816.26x = 1,226.91 × 529.70
  4. Step 4: Simplify right side
    816.26x = 649,894.23
  5. Step 5: Solve for x
    x = 649,894.23/816.26
  6. Step 6: Final answer
    x = 796.19

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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.