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Finding the Fourth Proportional to 1,209.83, 1,814.45 and 559.94

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Solution

The fourth proportional to 1,209.83, 1,814.45 and 559.94 is: 839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.83 : 1,814.45 = 559.94 : x
  2. Step 2: Convert to fraction form
    1,209.83/1,814.45 = 559.94/x
  3. Step 3: Cross multiply
    1,209.83x = 1,814.45 × 559.94
  4. Step 4: Simplify right side
    1,209.83x = 1,015,971.26
  5. Step 5: Solve for x
    x = 1,015,971.26/1,209.83
  6. Step 6: Final answer
    x = 839.77

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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.