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Finding the Fourth Proportional to 1,305.96, 1,957.47 and 996.78

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Solution

The fourth proportional to 1,305.96, 1,957.47 and 996.78 is: 1,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.96 : 1,957.47 = 996.78 : x
  2. Step 2: Convert to fraction form
    1,305.96/1,957.47 = 996.78/x
  3. Step 3: Cross multiply
    1,305.96x = 1,957.47 × 996.78
  4. Step 4: Simplify right side
    1,305.96x = 1,951,166.95
  5. Step 5: Solve for x
    x = 1,951,166.95/1,305.96
  6. Step 6: Final answer
    x = 1,494.05

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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.