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Finding the Fourth Proportional to 818.86, 1,226.16 and 453.22

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Solution

The fourth proportional to 818.86, 1,226.16 and 453.22 is: 678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.86 : 1,226.16 = 453.22 : x
  2. Step 2: Convert to fraction form
    818.86/1,226.16 = 453.22/x
  3. Step 3: Cross multiply
    818.86x = 1,226.16 × 453.22
  4. Step 4: Simplify right side
    818.86x = 555,720.24
  5. Step 5: Solve for x
    x = 555,720.24/818.86
  6. Step 6: Final answer
    x = 678.65

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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.