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Finding the Fourth Proportional to 1,799.47, 2,698.98 and 483.33

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Solution

The fourth proportional to 1,799.47, 2,698.98 and 483.33 is: 724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.47 : 2,698.98 = 483.33 : x
  2. Step 2: Convert to fraction form
    1,799.47/2,698.98 = 483.33/x
  3. Step 3: Cross multiply
    1,799.47x = 2,698.98 × 483.33
  4. Step 4: Simplify right side
    1,799.47x = 1,304,493.85
  5. Step 5: Solve for x
    x = 1,304,493.85/1,799.47
  6. Step 6: Final answer
    x = 724.93

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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.