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Finding the Fourth Proportional to 1,679.78, 2,519.92 and 525.26

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Solution

The fourth proportional to 1,679.78, 2,519.92 and 525.26 is: 787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.78 : 2,519.92 = 525.26 : x
  2. Step 2: Convert to fraction form
    1,679.78/2,519.92 = 525.26/x
  3. Step 3: Cross multiply
    1,679.78x = 2,519.92 × 525.26
  4. Step 4: Simplify right side
    1,679.78x = 1,323,613.18
  5. Step 5: Solve for x
    x = 1,323,613.18/1,679.78
  6. Step 6: Final answer
    x = 787.97

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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.