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Finding the Fourth Proportional to 1,208.57, 1,812.08 and 386.78

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Solution

The fourth proportional to 1,208.57, 1,812.08 and 386.78 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.57 : 1,812.08 = 386.78 : x
  2. Step 2: Convert to fraction form
    1,208.57/1,812.08 = 386.78/x
  3. Step 3: Cross multiply
    1,208.57x = 1,812.08 × 386.78
  4. Step 4: Simplify right side
    1,208.57x = 700,868.21
  5. Step 5: Solve for x
    x = 700,868.21/1,208.57
  6. Step 6: Final answer
    x = 579.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.