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Finding the Fourth Proportional to 1,402.77, 1,936.17 and 955.38

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Solution

The fourth proportional to 1,402.77, 1,936.17 and 955.38 is: 1,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.77 : 1,936.17 = 955.38 : x
  2. Step 2: Convert to fraction form
    1,402.77/1,936.17 = 955.38/x
  3. Step 3: Cross multiply
    1,402.77x = 1,936.17 × 955.38
  4. Step 4: Simplify right side
    1,402.77x = 1,849,778.09
  5. Step 5: Solve for x
    x = 1,849,778.09/1,402.77
  6. Step 6: Final answer
    x = 1,318.66

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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.