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Finding the Fourth Proportional to 1,355.80, 2,033.70 and 329.80

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Solution

The fourth proportional to 1,355.80, 2,033.70 and 329.80 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.80 : 2,033.70 = 329.80 : x
  2. Step 2: Convert to fraction form
    1,355.80/2,033.70 = 329.80/x
  3. Step 3: Cross multiply
    1,355.80x = 2,033.70 × 329.80
  4. Step 4: Simplify right side
    1,355.80x = 670,714.26
  5. Step 5: Solve for x
    x = 670,714.26/1,355.80
  6. Step 6: Final answer
    x = 494.70

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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.