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Finding the Fourth Proportional to 1,329.89, 1,994.46 and 795.25

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Solution

The fourth proportional to 1,329.89, 1,994.46 and 795.25 is: 1,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.89 : 1,994.46 = 795.25 : x
  2. Step 2: Convert to fraction form
    1,329.89/1,994.46 = 795.25/x
  3. Step 3: Cross multiply
    1,329.89x = 1,994.46 × 795.25
  4. Step 4: Simplify right side
    1,329.89x = 1,586,093.83
  5. Step 5: Solve for x
    x = 1,586,093.83/1,329.89
  6. Step 6: Final answer
    x = 1,192.65

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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.