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Finding the Fourth Proportional to 1,628.66, 2,443.98 and 704.04

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Solution

The fourth proportional to 1,628.66, 2,443.98 and 704.04 is: 1,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.66 : 2,443.98 = 704.04 : x
  2. Step 2: Convert to fraction form
    1,628.66/2,443.98 = 704.04/x
  3. Step 3: Cross multiply
    1,628.66x = 2,443.98 × 704.04
  4. Step 4: Simplify right side
    1,628.66x = 1,720,659.68
  5. Step 5: Solve for x
    x = 1,720,659.68/1,628.66
  6. Step 6: Final answer
    x = 1,056.49

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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.