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Finding the Fourth Proportional to 1,329.16, 1,991.91 and 678.53

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Solution

The fourth proportional to 1,329.16, 1,991.91 and 678.53 is: 1,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.16 : 1,991.91 = 678.53 : x
  2. Step 2: Convert to fraction form
    1,329.16/1,991.91 = 678.53/x
  3. Step 3: Cross multiply
    1,329.16x = 1,991.91 × 678.53
  4. Step 4: Simplify right side
    1,329.16x = 1,351,559.04
  5. Step 5: Solve for x
    x = 1,351,559.04/1,329.16
  6. Step 6: Final answer
    x = 1,016.86

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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.