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Finding the Fourth Proportional to 1,271.31, 1,907.07 and 405.63

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Solution

The fourth proportional to 1,271.31, 1,907.07 and 405.63 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.31 : 1,907.07 = 405.63 : x
  2. Step 2: Convert to fraction form
    1,271.31/1,907.07 = 405.63/x
  3. Step 3: Cross multiply
    1,271.31x = 1,907.07 × 405.63
  4. Step 4: Simplify right side
    1,271.31x = 773,564.80
  5. Step 5: Solve for x
    x = 773,564.80/1,271.31
  6. Step 6: Final answer
    x = 608.48

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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.