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Finding the Fourth Proportional to 1,208.74, 1,813.10 and 559.38

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Solution

The fourth proportional to 1,208.74, 1,813.10 and 559.38 is: 839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.74 : 1,813.10 = 559.38 : x
  2. Step 2: Convert to fraction form
    1,208.74/1,813.10 = 559.38/x
  3. Step 3: Cross multiply
    1,208.74x = 1,813.10 × 559.38
  4. Step 4: Simplify right side
    1,208.74x = 1,014,211.88
  5. Step 5: Solve for x
    x = 1,014,211.88/1,208.74
  6. Step 6: Final answer
    x = 839.07

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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.