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Finding the Fourth Proportional to 1,288.21, 1,930.52 and 638.29

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Solution

The fourth proportional to 1,288.21, 1,930.52 and 638.29 is: 956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.21 : 1,930.52 = 638.29 : x
  2. Step 2: Convert to fraction form
    1,288.21/1,930.52 = 638.29/x
  3. Step 3: Cross multiply
    1,288.21x = 1,930.52 × 638.29
  4. Step 4: Simplify right side
    1,288.21x = 1,232,228.42
  5. Step 5: Solve for x
    x = 1,232,228.42/1,288.21
  6. Step 6: Final answer
    x = 956.54

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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.