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Finding the Fourth Proportional to 1,131.72, 1,698.24 and 438.44

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Solution

The fourth proportional to 1,131.72, 1,698.24 and 438.44 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.72 : 1,698.24 = 438.44 : x
  2. Step 2: Convert to fraction form
    1,131.72/1,698.24 = 438.44/x
  3. Step 3: Cross multiply
    1,131.72x = 1,698.24 × 438.44
  4. Step 4: Simplify right side
    1,131.72x = 744,576.35
  5. Step 5: Solve for x
    x = 744,576.35/1,131.72
  6. Step 6: Final answer
    x = 657.92

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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.