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Finding the Fourth Proportional to 1,370.12, 2,055.51 and 396.23

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Solution

The fourth proportional to 1,370.12, 2,055.51 and 396.23 is: 594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.12 : 2,055.51 = 396.23 : x
  2. Step 2: Convert to fraction form
    1,370.12/2,055.51 = 396.23/x
  3. Step 3: Cross multiply
    1,370.12x = 2,055.51 × 396.23
  4. Step 4: Simplify right side
    1,370.12x = 814,444.45
  5. Step 5: Solve for x
    x = 814,444.45/1,370.12
  6. Step 6: Final answer
    x = 594.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.