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Finding the Fourth Proportional to 1,176.26, 1,765.20 and 764.40

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Solution

The fourth proportional to 1,176.26, 1,765.20 and 764.40 is: 1,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.26 : 1,765.20 = 764.40 : x
  2. Step 2: Convert to fraction form
    1,176.26/1,765.20 = 764.40/x
  3. Step 3: Cross multiply
    1,176.26x = 1,765.20 × 764.40
  4. Step 4: Simplify right side
    1,176.26x = 1,349,318.88
  5. Step 5: Solve for x
    x = 1,349,318.88/1,176.26
  6. Step 6: Final answer
    x = 1,147.13

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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.