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Finding the Fourth Proportional to 1,329.75, 1,995.54 and 464.07

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Solution

The fourth proportional to 1,329.75, 1,995.54 and 464.07 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.75 : 1,995.54 = 464.07 : x
  2. Step 2: Convert to fraction form
    1,329.75/1,995.54 = 464.07/x
  3. Step 3: Cross multiply
    1,329.75x = 1,995.54 × 464.07
  4. Step 4: Simplify right side
    1,329.75x = 926,063.92
  5. Step 5: Solve for x
    x = 926,063.92/1,329.75
  6. Step 6: Final answer
    x = 696.42

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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.