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Finding the Fourth Proportional to 1,329.29, 1,994.35 and 680.48

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Solution

The fourth proportional to 1,329.29, 1,994.35 and 680.48 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.29 : 1,994.35 = 680.48 : x
  2. Step 2: Convert to fraction form
    1,329.29/1,994.35 = 680.48/x
  3. Step 3: Cross multiply
    1,329.29x = 1,994.35 × 680.48
  4. Step 4: Simplify right side
    1,329.29x = 1,357,118.57
  5. Step 5: Solve for x
    x = 1,357,118.57/1,329.29
  6. Step 6: Final answer
    x = 1,020.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.