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Finding the Fourth Proportional to 1,205.03, 1,807.82 and 474.61

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Solution

The fourth proportional to 1,205.03, 1,807.82 and 474.61 is: 712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.03 : 1,807.82 = 474.61 : x
  2. Step 2: Convert to fraction form
    1,205.03/1,807.82 = 474.61/x
  3. Step 3: Cross multiply
    1,205.03x = 1,807.82 × 474.61
  4. Step 4: Simplify right side
    1,205.03x = 858,007.73
  5. Step 5: Solve for x
    x = 858,007.73/1,205.03
  6. Step 6: Final answer
    x = 712.02

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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.