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Finding the Fourth Proportional to 1,208.14, 1,812.24 and 387.10

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Solution

The fourth proportional to 1,208.14, 1,812.24 and 387.10 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.14 : 1,812.24 = 387.10 : x
  2. Step 2: Convert to fraction form
    1,208.14/1,812.24 = 387.10/x
  3. Step 3: Cross multiply
    1,208.14x = 1,812.24 × 387.10
  4. Step 4: Simplify right side
    1,208.14x = 701,518.10
  5. Step 5: Solve for x
    x = 701,518.10/1,208.14
  6. Step 6: Final answer
    x = 580.66

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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.