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Finding the Fourth Proportional to 1,204.69, 1,808.06 and 474.78

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Solution

The fourth proportional to 1,204.69, 1,808.06 and 474.78 is: 712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 1,808.06 = 474.78 : x
  2. Step 2: Convert to fraction form
    1,204.69/1,808.06 = 474.78/x
  3. Step 3: Cross multiply
    1,204.69x = 1,808.06 × 474.78
  4. Step 4: Simplify right side
    1,204.69x = 858,430.73
  5. Step 5: Solve for x
    x = 858,430.73/1,204.69
  6. Step 6: Final answer
    x = 712.57

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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.