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Finding the Fourth Proportional to 1,246.05, 1,869.63 and 629.64

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Solution

The fourth proportional to 1,246.05, 1,869.63 and 629.64 is: 944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.05 : 1,869.63 = 629.64 : x
  2. Step 2: Convert to fraction form
    1,246.05/1,869.63 = 629.64/x
  3. Step 3: Cross multiply
    1,246.05x = 1,869.63 × 629.64
  4. Step 4: Simplify right side
    1,246.05x = 1,177,193.83
  5. Step 5: Solve for x
    x = 1,177,193.83/1,246.05
  6. Step 6: Final answer
    x = 944.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.