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Finding the Fourth Proportional to 830.36, 1,145.82 and 481.04

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Solution

The fourth proportional to 830.36, 1,145.82 and 481.04 is: 663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.36 : 1,145.82 = 481.04 : x
  2. Step 2: Convert to fraction form
    830.36/1,145.82 = 481.04/x
  3. Step 3: Cross multiply
    830.36x = 1,145.82 × 481.04
  4. Step 4: Simplify right side
    830.36x = 551,185.25
  5. Step 5: Solve for x
    x = 551,185.25/830.36
  6. Step 6: Final answer
    x = 663.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.