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Finding the Fourth Proportional to 1,207.84, 1,811.77 and 386.09

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Solution

The fourth proportional to 1,207.84, 1,811.77 and 386.09 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.84 : 1,811.77 = 386.09 : x
  2. Step 2: Convert to fraction form
    1,207.84/1,811.77 = 386.09/x
  3. Step 3: Cross multiply
    1,207.84x = 1,811.77 × 386.09
  4. Step 4: Simplify right side
    1,207.84x = 699,508.14
  5. Step 5: Solve for x
    x = 699,508.14/1,207.84
  6. Step 6: Final answer
    x = 579.14

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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.