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Finding the Fourth Proportional to 1,730.45, 2,596.05 and 634.82

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Solution

The fourth proportional to 1,730.45, 2,596.05 and 634.82 is: 952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.45 : 2,596.05 = 634.82 : x
  2. Step 2: Convert to fraction form
    1,730.45/2,596.05 = 634.82/x
  3. Step 3: Cross multiply
    1,730.45x = 2,596.05 × 634.82
  4. Step 4: Simplify right side
    1,730.45x = 1,648,024.46
  5. Step 5: Solve for x
    x = 1,648,024.46/1,730.45
  6. Step 6: Final answer
    x = 952.37

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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.