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Finding the Fourth Proportional to 1,682.70, 2,524.49 and 587.13

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Solution

The fourth proportional to 1,682.70, 2,524.49 and 587.13 is: 880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.70 : 2,524.49 = 587.13 : x
  2. Step 2: Convert to fraction form
    1,682.70/2,524.49 = 587.13/x
  3. Step 3: Cross multiply
    1,682.70x = 2,524.49 × 587.13
  4. Step 4: Simplify right side
    1,682.70x = 1,482,203.81
  5. Step 5: Solve for x
    x = 1,482,203.81/1,682.70
  6. Step 6: Final answer
    x = 880.85

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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.