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Finding the Fourth Proportional to 1,676.42, 2,514 and 580.52

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Solution

The fourth proportional to 1,676.42, 2,514 and 580.52 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.42 : 2,514 = 580.52 : x
  2. Step 2: Convert to fraction form
    1,676.42/2,514 = 580.52/x
  3. Step 3: Cross multiply
    1,676.42x = 2,514 × 580.52
  4. Step 4: Simplify right side
    1,676.42x = 1,459,427.28
  5. Step 5: Solve for x
    x = 1,459,427.28/1,676.42
  6. Step 6: Final answer
    x = 870.56

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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.