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Finding the Fourth Proportional to 1,287.67, 1,931.75 and 422.59

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Solution

The fourth proportional to 1,287.67, 1,931.75 and 422.59 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.67 : 1,931.75 = 422.59 : x
  2. Step 2: Convert to fraction form
    1,287.67/1,931.75 = 422.59/x
  3. Step 3: Cross multiply
    1,287.67x = 1,931.75 × 422.59
  4. Step 4: Simplify right side
    1,287.67x = 816,338.23
  5. Step 5: Solve for x
    x = 816,338.23/1,287.67
  6. Step 6: Final answer
    x = 633.97

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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.