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Finding the Fourth Proportional to 1,144.64, 1,716.75 and 414.23

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Solution

The fourth proportional to 1,144.64, 1,716.75 and 414.23 is: 621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.64 : 1,716.75 = 414.23 : x
  2. Step 2: Convert to fraction form
    1,144.64/1,716.75 = 414.23/x
  3. Step 3: Cross multiply
    1,144.64x = 1,716.75 × 414.23
  4. Step 4: Simplify right side
    1,144.64x = 711,120.77
  5. Step 5: Solve for x
    x = 711,120.77/1,144.64
  6. Step 6: Final answer
    x = 621.26

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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.