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Finding the Fourth Proportional to 1,498.41, 2,247.97 and 458.40

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Solution

The fourth proportional to 1,498.41, 2,247.97 and 458.40 is: 687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.41 : 2,247.97 = 458.40 : x
  2. Step 2: Convert to fraction form
    1,498.41/2,247.97 = 458.40/x
  3. Step 3: Cross multiply
    1,498.41x = 2,247.97 × 458.40
  4. Step 4: Simplify right side
    1,498.41x = 1,030,469.45
  5. Step 5: Solve for x
    x = 1,030,469.45/1,498.41
  6. Step 6: Final answer
    x = 687.71

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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.