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Finding the Fourth Proportional to 1,208.54, 1,812.51 and 386.64

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Solution

The fourth proportional to 1,208.54, 1,812.51 and 386.64 is: 579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.54 : 1,812.51 = 386.64 : x
  2. Step 2: Convert to fraction form
    1,208.54/1,812.51 = 386.64/x
  3. Step 3: Cross multiply
    1,208.54x = 1,812.51 × 386.64
  4. Step 4: Simplify right side
    1,208.54x = 700,788.87
  5. Step 5: Solve for x
    x = 700,788.87/1,208.54
  6. Step 6: Final answer
    x = 579.87

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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.