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Finding the Fourth Proportional to 1,376.24, 1,899.21 and 786.78

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Solution

The fourth proportional to 1,376.24, 1,899.21 and 786.78 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.24 : 1,899.21 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,376.24/1,899.21 = 786.78/x
  3. Step 3: Cross multiply
    1,376.24x = 1,899.21 × 786.78
  4. Step 4: Simplify right side
    1,376.24x = 1,494,247.01
  5. Step 5: Solve for x
    x = 1,494,247.01/1,376.24
  6. Step 6: Final answer
    x = 1,085.75

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Why These Related Problems?

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