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Finding the Fourth Proportional to 1,204.29, 1,808.49 and 744.78

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Solution

The fourth proportional to 1,204.29, 1,808.49 and 744.78 is: 1,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.29 : 1,808.49 = 744.78 : x
  2. Step 2: Convert to fraction form
    1,204.29/1,808.49 = 744.78/x
  3. Step 3: Cross multiply
    1,204.29x = 1,808.49 × 744.78
  4. Step 4: Simplify right side
    1,204.29x = 1,346,927.18
  5. Step 5: Solve for x
    x = 1,346,927.18/1,204.29
  6. Step 6: Final answer
    x = 1,118.44

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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.