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Finding the Fourth Proportional to 1,176.20, 1,763.28 and 445.71

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Solution

The fourth proportional to 1,176.20, 1,763.28 and 445.71 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.20 : 1,763.28 = 445.71 : x
  2. Step 2: Convert to fraction form
    1,176.20/1,763.28 = 445.71/x
  3. Step 3: Cross multiply
    1,176.20x = 1,763.28 × 445.71
  4. Step 4: Simplify right side
    1,176.20x = 785,911.53
  5. Step 5: Solve for x
    x = 785,911.53/1,176.20
  6. Step 6: Final answer
    x = 668.18

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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.