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Finding the Fourth Proportional to 1,209.90, 1,814.31 and 344.01

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Solution

The fourth proportional to 1,209.90, 1,814.31 and 344.01 is: 515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.90 : 1,814.31 = 344.01 : x
  2. Step 2: Convert to fraction form
    1,209.90/1,814.31 = 344.01/x
  3. Step 3: Cross multiply
    1,209.90x = 1,814.31 × 344.01
  4. Step 4: Simplify right side
    1,209.90x = 624,140.78
  5. Step 5: Solve for x
    x = 624,140.78/1,209.90
  6. Step 6: Final answer
    x = 515.86

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Why These Related Problems?

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