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Finding the Fourth Proportional to 1,427.44, 2,139.55 and 646.27

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Solution

The fourth proportional to 1,427.44, 2,139.55 and 646.27 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.44 : 2,139.55 = 646.27 : x
  2. Step 2: Convert to fraction form
    1,427.44/2,139.55 = 646.27/x
  3. Step 3: Cross multiply
    1,427.44x = 2,139.55 × 646.27
  4. Step 4: Simplify right side
    1,427.44x = 1,382,726.98
  5. Step 5: Solve for x
    x = 1,382,726.98/1,427.44
  6. Step 6: Final answer
    x = 968.68

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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.