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Finding the Fourth Proportional to 1,491.32, 2,236.86 and 395.68

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Solution

The fourth proportional to 1,491.32, 2,236.86 and 395.68 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.32 : 2,236.86 = 395.68 : x
  2. Step 2: Convert to fraction form
    1,491.32/2,236.86 = 395.68/x
  3. Step 3: Cross multiply
    1,491.32x = 2,236.86 × 395.68
  4. Step 4: Simplify right side
    1,491.32x = 885,078.79
  5. Step 5: Solve for x
    x = 885,078.79/1,491.32
  6. Step 6: Final answer
    x = 593.49

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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.