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Finding the Fourth Proportional to 1,682.93, 2,524.50 and 512.91

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Solution

The fourth proportional to 1,682.93, 2,524.50 and 512.91 is: 769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.93 : 2,524.50 = 512.91 : x
  2. Step 2: Convert to fraction form
    1,682.93/2,524.50 = 512.91/x
  3. Step 3: Cross multiply
    1,682.93x = 2,524.50 × 512.91
  4. Step 4: Simplify right side
    1,682.93x = 1,294,841.30
  5. Step 5: Solve for x
    x = 1,294,841.30/1,682.93
  6. Step 6: Final answer
    x = 769.40

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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.