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Finding the Fourth Proportional to 1,208.19, 1,809.49 and 882.75

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Solution

The fourth proportional to 1,208.19, 1,809.49 and 882.75 is: 1,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.19 : 1,809.49 = 882.75 : x
  2. Step 2: Convert to fraction form
    1,208.19/1,809.49 = 882.75/x
  3. Step 3: Cross multiply
    1,208.19x = 1,809.49 × 882.75
  4. Step 4: Simplify right side
    1,208.19x = 1,597,327.30
  5. Step 5: Solve for x
    x = 1,597,327.30/1,208.19
  6. Step 6: Final answer
    x = 1,322.08

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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.