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Finding the Fourth Proportional to 1,176.19, 1,763.74 and 445.24

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Solution

The fourth proportional to 1,176.19, 1,763.74 and 445.24 is: 667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.19 : 1,763.74 = 445.24 : x
  2. Step 2: Convert to fraction form
    1,176.19/1,763.74 = 445.24/x
  3. Step 3: Cross multiply
    1,176.19x = 1,763.74 × 445.24
  4. Step 4: Simplify right side
    1,176.19x = 785,287.60
  5. Step 5: Solve for x
    x = 785,287.60/1,176.19
  6. Step 6: Final answer
    x = 667.65

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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.