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Finding the Fourth Proportional to 1,002.46, 1,383.52 and 629.46

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Solution

The fourth proportional to 1,002.46, 1,383.52 and 629.46 is: 868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.46 : 1,383.52 = 629.46 : x
  2. Step 2: Convert to fraction form
    1,002.46/1,383.52 = 629.46/x
  3. Step 3: Cross multiply
    1,002.46x = 1,383.52 × 629.46
  4. Step 4: Simplify right side
    1,002.46x = 870,870.50
  5. Step 5: Solve for x
    x = 870,870.50/1,002.46
  6. Step 6: Final answer
    x = 868.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.