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Finding the Fourth Proportional to 1,267.42, 1,900.56 and 574.06

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Solution

The fourth proportional to 1,267.42, 1,900.56 and 574.06 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.42 : 1,900.56 = 574.06 : x
  2. Step 2: Convert to fraction form
    1,267.42/1,900.56 = 574.06/x
  3. Step 3: Cross multiply
    1,267.42x = 1,900.56 × 574.06
  4. Step 4: Simplify right side
    1,267.42x = 1,091,025.97
  5. Step 5: Solve for x
    x = 1,091,025.97/1,267.42
  6. Step 6: Final answer
    x = 860.83

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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.