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Finding the Fourth Proportional to 1,231.05, 1,845.27 and 613.53

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Solution

The fourth proportional to 1,231.05, 1,845.27 and 613.53 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.05 : 1,845.27 = 613.53 : x
  2. Step 2: Convert to fraction form
    1,231.05/1,845.27 = 613.53/x
  3. Step 3: Cross multiply
    1,231.05x = 1,845.27 × 613.53
  4. Step 4: Simplify right side
    1,231.05x = 1,132,128.50
  5. Step 5: Solve for x
    x = 1,132,128.50/1,231.05
  6. Step 6: Final answer
    x = 919.64

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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.