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Finding the Fourth Proportional to 1,205.62, 1,809.34 and 474.80

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Solution

The fourth proportional to 1,205.62, 1,809.34 and 474.80 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.62 : 1,809.34 = 474.80 : x
  2. Step 2: Convert to fraction form
    1,205.62/1,809.34 = 474.80/x
  3. Step 3: Cross multiply
    1,205.62x = 1,809.34 × 474.80
  4. Step 4: Simplify right side
    1,205.62x = 859,064.40
  5. Step 5: Solve for x
    x = 859,064.40/1,205.62
  6. Step 6: Final answer
    x = 712.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.