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Finding the Fourth Proportional to 1,370.97, 2,056.77 and 997.56

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Solution

The fourth proportional to 1,370.97, 2,056.77 and 997.56 is: 1,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.97 : 2,056.77 = 997.56 : x
  2. Step 2: Convert to fraction form
    1,370.97/2,056.77 = 997.56/x
  3. Step 3: Cross multiply
    1,370.97x = 2,056.77 × 997.56
  4. Step 4: Simplify right side
    1,370.97x = 2,051,751.48
  5. Step 5: Solve for x
    x = 2,051,751.48/1,370.97
  6. Step 6: Final answer
    x = 1,496.57

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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.