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Finding the Fourth Proportional to 1,370.98, 2,055.56 and 754.97

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Solution

The fourth proportional to 1,370.98, 2,055.56 and 754.97 is: 1,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.98 : 2,055.56 = 754.97 : x
  2. Step 2: Convert to fraction form
    1,370.98/2,055.56 = 754.97/x
  3. Step 3: Cross multiply
    1,370.98x = 2,055.56 × 754.97
  4. Step 4: Simplify right side
    1,370.98x = 1,551,887.50
  5. Step 5: Solve for x
    x = 1,551,887.50/1,370.98
  6. Step 6: Final answer
    x = 1,131.96

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1.5x scale

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.