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Finding the Fourth Proportional to 1,576.44, 2,364.57 and 406.44

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Solution

The fourth proportional to 1,576.44, 2,364.57 and 406.44 is: 609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.44 : 2,364.57 = 406.44 : x
  2. Step 2: Convert to fraction form
    1,576.44/2,364.57 = 406.44/x
  3. Step 3: Cross multiply
    1,576.44x = 2,364.57 × 406.44
  4. Step 4: Simplify right side
    1,576.44x = 961,055.83
  5. Step 5: Solve for x
    x = 961,055.83/1,576.44
  6. Step 6: Final answer
    x = 609.64

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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.