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Finding the Fourth Proportional to 1,116.43, 1,674.98 and 423.31

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Solution

The fourth proportional to 1,116.43, 1,674.98 and 423.31 is: 635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.43 : 1,674.98 = 423.31 : x
  2. Step 2: Convert to fraction form
    1,116.43/1,674.98 = 423.31/x
  3. Step 3: Cross multiply
    1,116.43x = 1,674.98 × 423.31
  4. Step 4: Simplify right side
    1,116.43x = 709,031.07
  5. Step 5: Solve for x
    x = 709,031.07/1,116.43
  6. Step 6: Final answer
    x = 635.09

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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.