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Finding the Fourth Proportional to 1,209.51, 1,813.11 and 387.26

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Solution

The fourth proportional to 1,209.51, 1,813.11 and 387.26 is: 580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.51 : 1,813.11 = 387.26 : x
  2. Step 2: Convert to fraction form
    1,209.51/1,813.11 = 387.26/x
  3. Step 3: Cross multiply
    1,209.51x = 1,813.11 × 387.26
  4. Step 4: Simplify right side
    1,209.51x = 702,149.51
  5. Step 5: Solve for x
    x = 702,149.51/1,209.51
  6. Step 6: Final answer
    x = 580.52

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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.