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Finding the Fourth Proportional to 1,267.17, 1,899.54 and 401.28

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Solution

The fourth proportional to 1,267.17, 1,899.54 and 401.28 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.17 : 1,899.54 = 401.28 : x
  2. Step 2: Convert to fraction form
    1,267.17/1,899.54 = 401.28/x
  3. Step 3: Cross multiply
    1,267.17x = 1,899.54 × 401.28
  4. Step 4: Simplify right side
    1,267.17x = 762,247.41
  5. Step 5: Solve for x
    x = 762,247.41/1,267.17
  6. Step 6: Final answer
    x = 601.54

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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.