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Finding the Fourth Proportional to 1,676.77, 2,513.09 and 579.86

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Solution

The fourth proportional to 1,676.77, 2,513.09 and 579.86 is: 869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.77 : 2,513.09 = 579.86 : x
  2. Step 2: Convert to fraction form
    1,676.77/2,513.09 = 579.86/x
  3. Step 3: Cross multiply
    1,676.77x = 2,513.09 × 579.86
  4. Step 4: Simplify right side
    1,676.77x = 1,457,238.68
  5. Step 5: Solve for x
    x = 1,457,238.68/1,676.77
  6. Step 6: Final answer
    x = 869.08

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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.