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Finding the Fourth Proportional to 816.60, 1,226.70 and 573.60

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Solution

The fourth proportional to 816.60, 1,226.70 and 573.60 is: 861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.60 : 1,226.70 = 573.60 : x
  2. Step 2: Convert to fraction form
    816.60/1,226.70 = 573.60/x
  3. Step 3: Cross multiply
    816.60x = 1,226.70 × 573.60
  4. Step 4: Simplify right side
    816.60x = 703,635.12
  5. Step 5: Solve for x
    x = 703,635.12/816.60
  6. Step 6: Final answer
    x = 861.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.