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Finding the Fourth Proportional to 1,730.75, 2,593.82 and 634.08

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Solution

The fourth proportional to 1,730.75, 2,593.82 and 634.08 is: 950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.75 : 2,593.82 = 634.08 : x
  2. Step 2: Convert to fraction form
    1,730.75/2,593.82 = 634.08/x
  3. Step 3: Cross multiply
    1,730.75x = 2,593.82 × 634.08
  4. Step 4: Simplify right side
    1,730.75x = 1,644,686.22
  5. Step 5: Solve for x
    x = 1,644,686.22/1,730.75
  6. Step 6: Final answer
    x = 950.28

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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.