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Finding the Fourth Proportional to 1,137.44, 1,707.44 and 1,079.84

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Solution

The fourth proportional to 1,137.44, 1,707.44 and 1,079.84 is: 1,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.44 : 1,707.44 = 1,079.84 : x
  2. Step 2: Convert to fraction form
    1,137.44/1,707.44 = 1,079.84/x
  3. Step 3: Cross multiply
    1,137.44x = 1,707.44 × 1,079.84
  4. Step 4: Simplify right side
    1,137.44x = 1,843,762.01
  5. Step 5: Solve for x
    x = 1,843,762.01/1,137.44
  6. Step 6: Final answer
    x = 1,620.98

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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.