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Finding the Fourth Proportional to 1,091.04, 1,636.69 and 360.42

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Solution

The fourth proportional to 1,091.04, 1,636.69 and 360.42 is: 540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.04 : 1,636.69 = 360.42 : x
  2. Step 2: Convert to fraction form
    1,091.04/1,636.69 = 360.42/x
  3. Step 3: Cross multiply
    1,091.04x = 1,636.69 × 360.42
  4. Step 4: Simplify right side
    1,091.04x = 589,895.81
  5. Step 5: Solve for x
    x = 589,895.81/1,091.04
  6. Step 6: Final answer
    x = 540.67

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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.