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Finding the Fourth Proportional to 1,329.89, 1,994.73 and 405.46

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Solution

The fourth proportional to 1,329.89, 1,994.73 and 405.46 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.89 : 1,994.73 = 405.46 : x
  2. Step 2: Convert to fraction form
    1,329.89/1,994.73 = 405.46/x
  3. Step 3: Cross multiply
    1,329.89x = 1,994.73 × 405.46
  4. Step 4: Simplify right side
    1,329.89x = 808,772.98
  5. Step 5: Solve for x
    x = 808,772.98/1,329.89
  6. Step 6: Final answer
    x = 608.15

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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.