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Finding the Fourth Proportional to 968.23, 1,449.27 and 692.98

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Solution

The fourth proportional to 968.23, 1,449.27 and 692.98 is: 1,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.23 : 1,449.27 = 692.98 : x
  2. Step 2: Convert to fraction form
    968.23/1,449.27 = 692.98/x
  3. Step 3: Cross multiply
    968.23x = 1,449.27 × 692.98
  4. Step 4: Simplify right side
    968.23x = 1,004,315.12
  5. Step 5: Solve for x
    x = 1,004,315.12/968.23
  6. Step 6: Final answer
    x = 1,037.27

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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.