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Finding the Fourth Proportional to 1,229.86, 1,844.79 and 716.50

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Solution

The fourth proportional to 1,229.86, 1,844.79 and 716.50 is: 1,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.86 : 1,844.79 = 716.50 : x
  2. Step 2: Convert to fraction form
    1,229.86/1,844.79 = 716.50/x
  3. Step 3: Cross multiply
    1,229.86x = 1,844.79 × 716.50
  4. Step 4: Simplify right side
    1,229.86x = 1,321,792.04
  5. Step 5: Solve for x
    x = 1,321,792.04/1,229.86
  6. Step 6: Final answer
    x = 1,074.75

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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.