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Finding the Fourth Proportional to 1,329.53, 1,992.47 and 678.91

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Solution

The fourth proportional to 1,329.53, 1,992.47 and 678.91 is: 1,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.53 : 1,992.47 = 678.91 : x
  2. Step 2: Convert to fraction form
    1,329.53/1,992.47 = 678.91/x
  3. Step 3: Cross multiply
    1,329.53x = 1,992.47 × 678.91
  4. Step 4: Simplify right side
    1,329.53x = 1,352,694.45
  5. Step 5: Solve for x
    x = 1,352,694.45/1,329.53
  6. Step 6: Final answer
    x = 1,017.42

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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.