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Finding the Fourth Proportional to 1,730.57, 2,596.01 and 634.94

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Solution

The fourth proportional to 1,730.57, 2,596.01 and 634.94 is: 952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.57 : 2,596.01 = 634.94 : x
  2. Step 2: Convert to fraction form
    1,730.57/2,596.01 = 634.94/x
  3. Step 3: Cross multiply
    1,730.57x = 2,596.01 × 634.94
  4. Step 4: Simplify right side
    1,730.57x = 1,648,313.90
  5. Step 5: Solve for x
    x = 1,648,313.90/1,730.57
  6. Step 6: Final answer
    x = 952.47

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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.