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Finding the Fourth Proportional to 1,208.06, 1,811.88 and 477.85

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Solution

The fourth proportional to 1,208.06, 1,811.88 and 477.85 is: 716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,811.88 = 477.85 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,811.88 = 477.85/x
  3. Step 3: Cross multiply
    1,208.06x = 1,811.88 × 477.85
  4. Step 4: Simplify right side
    1,208.06x = 865,806.86
  5. Step 5: Solve for x
    x = 865,806.86/1,208.06
  6. Step 6: Final answer
    x = 716.69

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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.