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Finding the Fourth Proportional to 1,217.55, 1,824 and 805.47

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Solution

The fourth proportional to 1,217.55, 1,824 and 805.47 is: 1,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.55 : 1,824 = 805.47 : x
  2. Step 2: Convert to fraction form
    1,217.55/1,824 = 805.47/x
  3. Step 3: Cross multiply
    1,217.55x = 1,824 × 805.47
  4. Step 4: Simplify right side
    1,217.55x = 1,469,177.28
  5. Step 5: Solve for x
    x = 1,469,177.28/1,217.55
  6. Step 6: Final answer
    x = 1,206.67

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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.