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Finding the Fourth Proportional to 1,370.70, 2,055.78 and 493.02

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Solution

The fourth proportional to 1,370.70, 2,055.78 and 493.02 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.70 : 2,055.78 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,370.70/2,055.78 = 493.02/x
  3. Step 3: Cross multiply
    1,370.70x = 2,055.78 × 493.02
  4. Step 4: Simplify right side
    1,370.70x = 1,013,540.66
  5. Step 5: Solve for x
    x = 1,013,540.66/1,370.70
  6. Step 6: Final answer
    x = 739.43

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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.