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Finding the Fourth Proportional to 1,162.75, 1,744.16 and 422.51

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Solution

The fourth proportional to 1,162.75, 1,744.16 and 422.51 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.75 : 1,744.16 = 422.51 : x
  2. Step 2: Convert to fraction form
    1,162.75/1,744.16 = 422.51/x
  3. Step 3: Cross multiply
    1,162.75x = 1,744.16 × 422.51
  4. Step 4: Simplify right side
    1,162.75x = 736,914.21
  5. Step 5: Solve for x
    x = 736,914.21/1,162.75
  6. Step 6: Final answer
    x = 633.77

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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.