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Finding the Fourth Proportional to 1,416.97, 2,125.50 and 443.15

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Solution

The fourth proportional to 1,416.97, 2,125.50 and 443.15 is: 664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.97 : 2,125.50 = 443.15 : x
  2. Step 2: Convert to fraction form
    1,416.97/2,125.50 = 443.15/x
  3. Step 3: Cross multiply
    1,416.97x = 2,125.50 × 443.15
  4. Step 4: Simplify right side
    1,416.97x = 941,915.33
  5. Step 5: Solve for x
    x = 941,915.33/1,416.97
  6. Step 6: Final answer
    x = 664.74

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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.