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Finding the Fourth Proportional to 1,375.63, 1,898.26 and 786.09

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Solution

The fourth proportional to 1,375.63, 1,898.26 and 786.09 is: 1,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.63 : 1,898.26 = 786.09 : x
  2. Step 2: Convert to fraction form
    1,375.63/1,898.26 = 786.09/x
  3. Step 3: Cross multiply
    1,375.63x = 1,898.26 × 786.09
  4. Step 4: Simplify right side
    1,375.63x = 1,492,203.20
  5. Step 5: Solve for x
    x = 1,492,203.20/1,375.63
  6. Step 6: Final answer
    x = 1,084.74

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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.