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Finding the Fourth Proportional to 1,270.18, 1,901.68 and 806.81

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Solution

The fourth proportional to 1,270.18, 1,901.68 and 806.81 is: 1,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.18 : 1,901.68 = 806.81 : x
  2. Step 2: Convert to fraction form
    1,270.18/1,901.68 = 806.81/x
  3. Step 3: Cross multiply
    1,270.18x = 1,901.68 × 806.81
  4. Step 4: Simplify right side
    1,270.18x = 1,534,293.61
  5. Step 5: Solve for x
    x = 1,534,293.61/1,270.18
  6. Step 6: Final answer
    x = 1,207.93

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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.