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Finding the Fourth Proportional to 1,632.80, 2,449.07 and 522.18

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Solution

The fourth proportional to 1,632.80, 2,449.07 and 522.18 is: 783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.80 : 2,449.07 = 522.18 : x
  2. Step 2: Convert to fraction form
    1,632.80/2,449.07 = 522.18/x
  3. Step 3: Cross multiply
    1,632.80x = 2,449.07 × 522.18
  4. Step 4: Simplify right side
    1,632.80x = 1,278,855.37
  5. Step 5: Solve for x
    x = 1,278,855.37/1,632.80
  6. Step 6: Final answer
    x = 783.23

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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.