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Finding the Fourth Proportional to 1,208.15, 1,812.60 and 591.92

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Solution

The fourth proportional to 1,208.15, 1,812.60 and 591.92 is: 888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.15 : 1,812.60 = 591.92 : x
  2. Step 2: Convert to fraction form
    1,208.15/1,812.60 = 591.92/x
  3. Step 3: Cross multiply
    1,208.15x = 1,812.60 × 591.92
  4. Step 4: Simplify right side
    1,208.15x = 1,072,914.19
  5. Step 5: Solve for x
    x = 1,072,914.19/1,208.15
  6. Step 6: Final answer
    x = 888.06

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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.