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Finding the Fourth Proportional to 1,682.49, 2,524.16 and 586.87

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Solution

The fourth proportional to 1,682.49, 2,524.16 and 586.87 is: 880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.49 : 2,524.16 = 586.87 : x
  2. Step 2: Convert to fraction form
    1,682.49/2,524.16 = 586.87/x
  3. Step 3: Cross multiply
    1,682.49x = 2,524.16 × 586.87
  4. Step 4: Simplify right side
    1,682.49x = 1,481,353.78
  5. Step 5: Solve for x
    x = 1,481,353.78/1,682.49
  6. Step 6: Final answer
    x = 880.45

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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.