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Finding the Fourth Proportional to 818.69, 1,226.86 and 609.50

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Solution

The fourth proportional to 818.69, 1,226.86 and 609.50 is: 913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.69 : 1,226.86 = 609.50 : x
  2. Step 2: Convert to fraction form
    818.69/1,226.86 = 609.50/x
  3. Step 3: Cross multiply
    818.69x = 1,226.86 × 609.50
  4. Step 4: Simplify right side
    818.69x = 747,772.71
  5. Step 5: Solve for x
    x = 747,772.71/818.69
  6. Step 6: Final answer
    x = 913.38

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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.