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Finding the Fourth Proportional to 1,375.73, 1,898.64 and 786.31

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Solution

The fourth proportional to 1,375.73, 1,898.64 and 786.31 is: 1,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.73 : 1,898.64 = 786.31 : x
  2. Step 2: Convert to fraction form
    1,375.73/1,898.64 = 786.31/x
  3. Step 3: Cross multiply
    1,375.73x = 1,898.64 × 786.31
  4. Step 4: Simplify right side
    1,375.73x = 1,492,914.87
  5. Step 5: Solve for x
    x = 1,492,914.87/1,375.73
  6. Step 6: Final answer
    x = 1,085.18

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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.