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Finding the Fourth Proportional to 830.64, 1,146.36 and 481.44

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Solution

The fourth proportional to 830.64, 1,146.36 and 481.44 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.64 : 1,146.36 = 481.44 : x
  2. Step 2: Convert to fraction form
    830.64/1,146.36 = 481.44/x
  3. Step 3: Cross multiply
    830.64x = 1,146.36 × 481.44
  4. Step 4: Simplify right side
    830.64x = 551,903.56
  5. Step 5: Solve for x
    x = 551,903.56/830.64
  6. Step 6: Final answer
    x = 664.43

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1.5x scale

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.