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Finding the Fourth Proportional to 969.06, 1,453.68 and 275.76

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Solution

The fourth proportional to 969.06, 1,453.68 and 275.76 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,453.68 = 275.76 : x
  2. Step 2: Convert to fraction form
    969.06/1,453.68 = 275.76/x
  3. Step 3: Cross multiply
    969.06x = 1,453.68 × 275.76
  4. Step 4: Simplify right side
    969.06x = 400,866.80
  5. Step 5: Solve for x
    x = 400,866.80/969.06
  6. Step 6: Final answer
    x = 413.67

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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.