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Finding the Fourth Proportional to 1,144.52, 1,716.96 and 414.27

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Solution

The fourth proportional to 1,144.52, 1,716.96 and 414.27 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.52 : 1,716.96 = 414.27 : x
  2. Step 2: Convert to fraction form
    1,144.52/1,716.96 = 414.27/x
  3. Step 3: Cross multiply
    1,144.52x = 1,716.96 × 414.27
  4. Step 4: Simplify right side
    1,144.52x = 711,285.02
  5. Step 5: Solve for x
    x = 711,285.02/1,144.52
  6. Step 6: Final answer
    x = 621.47

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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.