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Finding the Fourth Proportional to 1,209.83, 1,814.75 and 440.33

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Solution

The fourth proportional to 1,209.83, 1,814.75 and 440.33 is: 660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.83 : 1,814.75 = 440.33 : x
  2. Step 2: Convert to fraction form
    1,209.83/1,814.75 = 440.33/x
  3. Step 3: Cross multiply
    1,209.83x = 1,814.75 × 440.33
  4. Step 4: Simplify right side
    1,209.83x = 799,086.67
  5. Step 5: Solve for x
    x = 799,086.67/1,209.83
  6. Step 6: Final answer
    x = 660.50

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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.