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Finding the Fourth Proportional to 1,731, 2,596.44 and 432.44

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Solution

The fourth proportional to 1,731, 2,596.44 and 432.44 is: 648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731 : 2,596.44 = 432.44 : x
  2. Step 2: Convert to fraction form
    1,731/2,596.44 = 432.44/x
  3. Step 3: Cross multiply
    1,731x = 2,596.44 × 432.44
  4. Step 4: Simplify right side
    1,731x = 1,122,804.51
  5. Step 5: Solve for x
    x = 1,122,804.51/1,731
  6. Step 6: Final answer
    x = 648.65

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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.