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Finding the Fourth Proportional to 1,097.05, 1,645.77 and 366.67

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Solution

The fourth proportional to 1,097.05, 1,645.77 and 366.67 is: 550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.05 : 1,645.77 = 366.67 : x
  2. Step 2: Convert to fraction form
    1,097.05/1,645.77 = 366.67/x
  3. Step 3: Cross multiply
    1,097.05x = 1,645.77 × 366.67
  4. Step 4: Simplify right side
    1,097.05x = 603,454.49
  5. Step 5: Solve for x
    x = 603,454.49/1,097.05
  6. Step 6: Final answer
    x = 550.07

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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.