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Finding the Fourth Proportional to 1,404.51, 2,105.85 and 755.70

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Solution

The fourth proportional to 1,404.51, 2,105.85 and 755.70 is: 1,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.51 : 2,105.85 = 755.70 : x
  2. Step 2: Convert to fraction form
    1,404.51/2,105.85 = 755.70/x
  3. Step 3: Cross multiply
    1,404.51x = 2,105.85 × 755.70
  4. Step 4: Simplify right side
    1,404.51x = 1,591,390.85
  5. Step 5: Solve for x
    x = 1,591,390.85/1,404.51
  6. Step 6: Final answer
    x = 1,133.06

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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.