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Finding the Fourth Proportional to 1,272.18, 1,907.79 and 406.02

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Solution

The fourth proportional to 1,272.18, 1,907.79 and 406.02 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.18 : 1,907.79 = 406.02 : x
  2. Step 2: Convert to fraction form
    1,272.18/1,907.79 = 406.02/x
  3. Step 3: Cross multiply
    1,272.18x = 1,907.79 × 406.02
  4. Step 4: Simplify right side
    1,272.18x = 774,600.90
  5. Step 5: Solve for x
    x = 774,600.90/1,272.18
  6. Step 6: Final answer
    x = 608.88

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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.