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Finding the Fourth Proportional to 1,203.75, 1,806.36 and 519.75

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Solution

The fourth proportional to 1,203.75, 1,806.36 and 519.75 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.75 : 1,806.36 = 519.75 : x
  2. Step 2: Convert to fraction form
    1,203.75/1,806.36 = 519.75/x
  3. Step 3: Cross multiply
    1,203.75x = 1,806.36 × 519.75
  4. Step 4: Simplify right side
    1,203.75x = 938,855.61
  5. Step 5: Solve for x
    x = 938,855.61/1,203.75
  6. Step 6: Final answer
    x = 779.94

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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.