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Finding the Fourth Proportional to 1,208.36, 1,812.58 and 386.66

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Solution

The fourth proportional to 1,208.36, 1,812.58 and 386.66 is: 580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.36 : 1,812.58 = 386.66 : x
  2. Step 2: Convert to fraction form
    1,208.36/1,812.58 = 386.66/x
  3. Step 3: Cross multiply
    1,208.36x = 1,812.58 × 386.66
  4. Step 4: Simplify right side
    1,208.36x = 700,852.18
  5. Step 5: Solve for x
    x = 700,852.18/1,208.36
  6. Step 6: Final answer
    x = 580.00

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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.