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Finding the Fourth Proportional to 1,208.84, 1,813.44 and 386.92

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Solution

The fourth proportional to 1,208.84, 1,813.44 and 386.92 is: 580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.84 : 1,813.44 = 386.92 : x
  2. Step 2: Convert to fraction form
    1,208.84/1,813.44 = 386.92/x
  3. Step 3: Cross multiply
    1,208.84x = 1,813.44 × 386.92
  4. Step 4: Simplify right side
    1,208.84x = 701,656.20
  5. Step 5: Solve for x
    x = 701,656.20/1,208.84
  6. Step 6: Final answer
    x = 580.44

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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.