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Finding the Fourth Proportional to 1,209.78, 1,814.91 and 387.99

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Solution

The fourth proportional to 1,209.78, 1,814.91 and 387.99 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.78 : 1,814.91 = 387.99 : x
  2. Step 2: Convert to fraction form
    1,209.78/1,814.91 = 387.99/x
  3. Step 3: Cross multiply
    1,209.78x = 1,814.91 × 387.99
  4. Step 4: Simplify right side
    1,209.78x = 704,165.48
  5. Step 5: Solve for x
    x = 704,165.48/1,209.78
  6. Step 6: Final answer
    x = 582.06

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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.