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Finding the Fourth Proportional to 1,091.65, 1,636.82 and 474.84

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Solution

The fourth proportional to 1,091.65, 1,636.82 and 474.84 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.65 : 1,636.82 = 474.84 : x
  2. Step 2: Convert to fraction form
    1,091.65/1,636.82 = 474.84/x
  3. Step 3: Cross multiply
    1,091.65x = 1,636.82 × 474.84
  4. Step 4: Simplify right side
    1,091.65x = 777,220.88
  5. Step 5: Solve for x
    x = 777,220.88/1,091.65
  6. Step 6: Final answer
    x = 711.97

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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.