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Finding the Fourth Proportional to 1,647.45, 2,468.69 and 722.49

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Solution

The fourth proportional to 1,647.45, 2,468.69 and 722.49 is: 1,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.45 : 2,468.69 = 722.49 : x
  2. Step 2: Convert to fraction form
    1,647.45/2,468.69 = 722.49/x
  3. Step 3: Cross multiply
    1,647.45x = 2,468.69 × 722.49
  4. Step 4: Simplify right side
    1,647.45x = 1,783,600.23
  5. Step 5: Solve for x
    x = 1,783,600.23/1,647.45
  6. Step 6: Final answer
    x = 1,082.64

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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.