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Finding the Fourth Proportional to 1,267.04, 1,900.60 and 401.36

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Solution

The fourth proportional to 1,267.04, 1,900.60 and 401.36 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.04 : 1,900.60 = 401.36 : x
  2. Step 2: Convert to fraction form
    1,267.04/1,900.60 = 401.36/x
  3. Step 3: Cross multiply
    1,267.04x = 1,900.60 × 401.36
  4. Step 4: Simplify right side
    1,267.04x = 762,814.31
  5. Step 5: Solve for x
    x = 762,814.31/1,267.04
  6. Step 6: Final answer
    x = 602.04

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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.