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Finding the Fourth Proportional to 1,402.93, 1,935.66 and 905.73

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Solution

The fourth proportional to 1,402.93, 1,935.66 and 905.73 is: 1,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.93 : 1,935.66 = 905.73 : x
  2. Step 2: Convert to fraction form
    1,402.93/1,935.66 = 905.73/x
  3. Step 3: Cross multiply
    1,402.93x = 1,935.66 × 905.73
  4. Step 4: Simplify right side
    1,402.93x = 1,753,185.33
  5. Step 5: Solve for x
    x = 1,753,185.33/1,402.93
  6. Step 6: Final answer
    x = 1,249.66

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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.