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Finding the Fourth Proportional to 830.65, 1,146.03 and 481.36

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Solution

The fourth proportional to 830.65, 1,146.03 and 481.36 is: 664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.65 : 1,146.03 = 481.36 : x
  2. Step 2: Convert to fraction form
    830.65/1,146.03 = 481.36/x
  3. Step 3: Cross multiply
    830.65x = 1,146.03 × 481.36
  4. Step 4: Simplify right side
    830.65x = 551,653.00
  5. Step 5: Solve for x
    x = 551,653.00/830.65
  6. Step 6: Final answer
    x = 664.12

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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.