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Finding the Fourth Proportional to 1,208.06, 1,811.48 and 559.26

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Solution

The fourth proportional to 1,208.06, 1,811.48 and 559.26 is: 838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,811.48 = 559.26 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,811.48 = 559.26/x
  3. Step 3: Cross multiply
    1,208.06x = 1,811.48 × 559.26
  4. Step 4: Simplify right side
    1,208.06x = 1,013,088.30
  5. Step 5: Solve for x
    x = 1,013,088.30/1,208.06
  6. Step 6: Final answer
    x = 838.61

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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.