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Finding the Fourth Proportional to 1,291.29, 1,936.97 and 317.39

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Solution

The fourth proportional to 1,291.29, 1,936.97 and 317.39 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.29 : 1,936.97 = 317.39 : x
  2. Step 2: Convert to fraction form
    1,291.29/1,936.97 = 317.39/x
  3. Step 3: Cross multiply
    1,291.29x = 1,936.97 × 317.39
  4. Step 4: Simplify right side
    1,291.29x = 614,777.51
  5. Step 5: Solve for x
    x = 614,777.51/1,291.29
  6. Step 6: Final answer
    x = 476.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.