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Finding the Fourth Proportional to 1,176.12, 1,764.22 and 688.68

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Solution

The fourth proportional to 1,176.12, 1,764.22 and 688.68 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.12 : 1,764.22 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,176.12/1,764.22 = 688.68/x
  3. Step 3: Cross multiply
    1,176.12x = 1,764.22 × 688.68
  4. Step 4: Simplify right side
    1,176.12x = 1,214,983.03
  5. Step 5: Solve for x
    x = 1,214,983.03/1,176.12
  6. Step 6: Final answer
    x = 1,033.04

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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.