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Finding the Fourth Proportional to 1,676.28, 2,513.84 and 580.35

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Solution

The fourth proportional to 1,676.28, 2,513.84 and 580.35 is: 870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.28 : 2,513.84 = 580.35 : x
  2. Step 2: Convert to fraction form
    1,676.28/2,513.84 = 580.35/x
  3. Step 3: Cross multiply
    1,676.28x = 2,513.84 × 580.35
  4. Step 4: Simplify right side
    1,676.28x = 1,458,904.14
  5. Step 5: Solve for x
    x = 1,458,904.14/1,676.28
  6. Step 6: Final answer
    x = 870.32

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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.