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Finding the Fourth Proportional to 1,682.64, 2,523.32 and 770

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Solution

The fourth proportional to 1,682.64, 2,523.32 and 770 is: 1,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.64 : 2,523.32 = 770 : x
  2. Step 2: Convert to fraction form
    1,682.64/2,523.32 = 770/x
  3. Step 3: Cross multiply
    1,682.64x = 2,523.32 × 770
  4. Step 4: Simplify right side
    1,682.64x = 1,942,956.40
  5. Step 5: Solve for x
    x = 1,942,956.40/1,682.64
  6. Step 6: Final answer
    x = 1,154.71

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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.