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Finding the Fourth Proportional to 1,318.73, 1,976.31 and 970.43

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Solution

The fourth proportional to 1,318.73, 1,976.31 and 970.43 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.73 : 1,976.31 = 970.43 : x
  2. Step 2: Convert to fraction form
    1,318.73/1,976.31 = 970.43/x
  3. Step 3: Cross multiply
    1,318.73x = 1,976.31 × 970.43
  4. Step 4: Simplify right side
    1,318.73x = 1,917,860.63
  5. Step 5: Solve for x
    x = 1,917,860.63/1,318.73
  6. Step 6: Final answer
    x = 1,454.33

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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.