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Finding the Fourth Proportional to 969.04, 1,453.57 and 413.67

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Solution

The fourth proportional to 969.04, 1,453.57 and 413.67 is: 620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.04 : 1,453.57 = 413.67 : x
  2. Step 2: Convert to fraction form
    969.04/1,453.57 = 413.67/x
  3. Step 3: Cross multiply
    969.04x = 1,453.57 × 413.67
  4. Step 4: Simplify right side
    969.04x = 601,298.30
  5. Step 5: Solve for x
    x = 601,298.30/969.04
  6. Step 6: Final answer
    x = 620.51

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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.