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Finding the Fourth Proportional to 1,375.83, 1,899.07 and 786.76

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Solution

The fourth proportional to 1,375.83, 1,899.07 and 786.76 is: 1,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.83 : 1,899.07 = 786.76 : x
  2. Step 2: Convert to fraction form
    1,375.83/1,899.07 = 786.76/x
  3. Step 3: Cross multiply
    1,375.83x = 1,899.07 × 786.76
  4. Step 4: Simplify right side
    1,375.83x = 1,494,105.60
  5. Step 5: Solve for x
    x = 1,494,105.60/1,375.83
  6. Step 6: Final answer
    x = 1,085.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.