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Finding the Fourth Proportional to 1,664.96, 2,497.24 and 432.38

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Solution

The fourth proportional to 1,664.96, 2,497.24 and 432.38 is: 648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.96 : 2,497.24 = 432.38 : x
  2. Step 2: Convert to fraction form
    1,664.96/2,497.24 = 432.38/x
  3. Step 3: Cross multiply
    1,664.96x = 2,497.24 × 432.38
  4. Step 4: Simplify right side
    1,664.96x = 1,079,756.63
  5. Step 5: Solve for x
    x = 1,079,756.63/1,664.96
  6. Step 6: Final answer
    x = 648.52

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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.