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Finding the Fourth Proportional to 1,291.38, 1,934.39 and 631.27

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Solution

The fourth proportional to 1,291.38, 1,934.39 and 631.27 is: 945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.38 : 1,934.39 = 631.27 : x
  2. Step 2: Convert to fraction form
    1,291.38/1,934.39 = 631.27/x
  3. Step 3: Cross multiply
    1,291.38x = 1,934.39 × 631.27
  4. Step 4: Simplify right side
    1,291.38x = 1,221,119.12
  5. Step 5: Solve for x
    x = 1,221,119.12/1,291.38
  6. Step 6: Final answer
    x = 945.59

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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.