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Finding the Fourth Proportional to 1,370.44, 2,054.45 and 711.95

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Solution

The fourth proportional to 1,370.44, 2,054.45 and 711.95 is: 1,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.44 : 2,054.45 = 711.95 : x
  2. Step 2: Convert to fraction form
    1,370.44/2,054.45 = 711.95/x
  3. Step 3: Cross multiply
    1,370.44x = 2,054.45 × 711.95
  4. Step 4: Simplify right side
    1,370.44x = 1,462,657.19
  5. Step 5: Solve for x
    x = 1,462,657.19/1,370.44
  6. Step 6: Final answer
    x = 1,067.29

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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.