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Finding the Fourth Proportional to 1,208.51, 1,813.03 and 386.80

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Solution

The fourth proportional to 1,208.51, 1,813.03 and 386.80 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.51 : 1,813.03 = 386.80 : x
  2. Step 2: Convert to fraction form
    1,208.51/1,813.03 = 386.80/x
  3. Step 3: Cross multiply
    1,208.51x = 1,813.03 × 386.80
  4. Step 4: Simplify right side
    1,208.51x = 701,280.00
  5. Step 5: Solve for x
    x = 701,280.00/1,208.51
  6. Step 6: Final answer
    x = 580.28

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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.