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Finding the Fourth Proportional to 830.54, 1,145.82 and 481.16

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Solution

The fourth proportional to 830.54, 1,145.82 and 481.16 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.54 : 1,145.82 = 481.16 : x
  2. Step 2: Convert to fraction form
    830.54/1,145.82 = 481.16/x
  3. Step 3: Cross multiply
    830.54x = 1,145.82 × 481.16
  4. Step 4: Simplify right side
    830.54x = 551,322.75
  5. Step 5: Solve for x
    x = 551,322.75/830.54
  6. Step 6: Final answer
    x = 663.81

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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.