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Finding the Fourth Proportional to 1,176.83, 1,767.22 and 739.02

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Solution

The fourth proportional to 1,176.83, 1,767.22 and 739.02 is: 1,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.83 : 1,767.22 = 739.02 : x
  2. Step 2: Convert to fraction form
    1,176.83/1,767.22 = 739.02/x
  3. Step 3: Cross multiply
    1,176.83x = 1,767.22 × 739.02
  4. Step 4: Simplify right side
    1,176.83x = 1,306,015.70
  5. Step 5: Solve for x
    x = 1,306,015.70/1,176.83
  6. Step 6: Final answer
    x = 1,109.78

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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.