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Finding the Fourth Proportional to 1,745.92, 2,618.58 and 513.30

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Solution

The fourth proportional to 1,745.92, 2,618.58 and 513.30 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.92 : 2,618.58 = 513.30 : x
  2. Step 2: Convert to fraction form
    1,745.92/2,618.58 = 513.30/x
  3. Step 3: Cross multiply
    1,745.92x = 2,618.58 × 513.30
  4. Step 4: Simplify right side
    1,745.92x = 1,344,117.11
  5. Step 5: Solve for x
    x = 1,344,117.11/1,745.92
  6. Step 6: Final answer
    x = 769.86

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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.