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Finding the Fourth Proportional to 1,271.73, 1,907.73 and 394.23

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Solution

The fourth proportional to 1,271.73, 1,907.73 and 394.23 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.73 : 1,907.73 = 394.23 : x
  2. Step 2: Convert to fraction form
    1,271.73/1,907.73 = 394.23/x
  3. Step 3: Cross multiply
    1,271.73x = 1,907.73 × 394.23
  4. Step 4: Simplify right side
    1,271.73x = 752,084.40
  5. Step 5: Solve for x
    x = 752,084.40/1,271.73
  6. Step 6: Final answer
    x = 591.39

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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.