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Finding the Fourth Proportional to 1,246.34, 1,869.59 and 629.33

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Solution

The fourth proportional to 1,246.34, 1,869.59 and 629.33 is: 944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.34 : 1,869.59 = 629.33 : x
  2. Step 2: Convert to fraction form
    1,246.34/1,869.59 = 629.33/x
  3. Step 3: Cross multiply
    1,246.34x = 1,869.59 × 629.33
  4. Step 4: Simplify right side
    1,246.34x = 1,176,576.58
  5. Step 5: Solve for x
    x = 1,176,576.58/1,246.34
  6. Step 6: Final answer
    x = 944.02

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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.