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Finding the Fourth Proportional to 1,370.52, 2,055.38 and 396.72

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Solution

The fourth proportional to 1,370.52, 2,055.38 and 396.72 is: 594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.52 : 2,055.38 = 396.72 : x
  2. Step 2: Convert to fraction form
    1,370.52/2,055.38 = 396.72/x
  3. Step 3: Cross multiply
    1,370.52x = 2,055.38 × 396.72
  4. Step 4: Simplify right side
    1,370.52x = 815,408.37
  5. Step 5: Solve for x
    x = 815,408.37/1,370.52
  6. Step 6: Final answer
    x = 594.96

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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.