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Finding the Fourth Proportional to 1,682.03, 2,523.12 and 586.49

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Solution

The fourth proportional to 1,682.03, 2,523.12 and 586.49 is: 879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.03 : 2,523.12 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,682.03/2,523.12 = 586.49/x
  3. Step 3: Cross multiply
    1,682.03x = 2,523.12 × 586.49
  4. Step 4: Simplify right side
    1,682.03x = 1,479,772.03
  5. Step 5: Solve for x
    x = 1,479,772.03/1,682.03
  6. Step 6: Final answer
    x = 879.76

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1.5x scale

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.