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Finding the Fourth Proportional to 1,137, 1,704.64 and 444.16

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Solution

The fourth proportional to 1,137, 1,704.64 and 444.16 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137 : 1,704.64 = 444.16 : x
  2. Step 2: Convert to fraction form
    1,137/1,704.64 = 444.16/x
  3. Step 3: Cross multiply
    1,137x = 1,704.64 × 444.16
  4. Step 4: Simplify right side
    1,137x = 757,132.90
  5. Step 5: Solve for x
    x = 757,132.90/1,137
  6. Step 6: Final answer
    x = 665.90

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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.