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Finding the Fourth Proportional to 1,144.81, 1,716.63 and 414.19

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Solution

The fourth proportional to 1,144.81, 1,716.63 and 414.19 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.81 : 1,716.63 = 414.19 : x
  2. Step 2: Convert to fraction form
    1,144.81/1,716.63 = 414.19/x
  3. Step 3: Cross multiply
    1,144.81x = 1,716.63 × 414.19
  4. Step 4: Simplify right side
    1,144.81x = 711,010.98
  5. Step 5: Solve for x
    x = 711,010.98/1,144.81
  6. Step 6: Final answer
    x = 621.07

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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.