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Finding the Fourth Proportional to 1,116.23, 1,673.89 and 422.78

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Solution

The fourth proportional to 1,116.23, 1,673.89 and 422.78 is: 633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.23 : 1,673.89 = 422.78 : x
  2. Step 2: Convert to fraction form
    1,116.23/1,673.89 = 422.78/x
  3. Step 3: Cross multiply
    1,116.23x = 1,673.89 × 422.78
  4. Step 4: Simplify right side
    1,116.23x = 707,677.79
  5. Step 5: Solve for x
    x = 707,677.79/1,116.23
  6. Step 6: Final answer
    x = 633.99

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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.