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Finding the Fourth Proportional to 1,682.76, 2,524.07 and 450.14

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Solution

The fourth proportional to 1,682.76, 2,524.07 and 450.14 is: 675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.76 : 2,524.07 = 450.14 : x
  2. Step 2: Convert to fraction form
    1,682.76/2,524.07 = 450.14/x
  3. Step 3: Cross multiply
    1,682.76x = 2,524.07 × 450.14
  4. Step 4: Simplify right side
    1,682.76x = 1,136,170.00
  5. Step 5: Solve for x
    x = 1,136,170.00/1,682.76
  6. Step 6: Final answer
    x = 675.18

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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.