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Finding the Fourth Proportional to 830.63, 1,146.27 and 481.34

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Solution

The fourth proportional to 830.63, 1,146.27 and 481.34 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.63 : 1,146.27 = 481.34 : x
  2. Step 2: Convert to fraction form
    830.63/1,146.27 = 481.34/x
  3. Step 3: Cross multiply
    830.63x = 1,146.27 × 481.34
  4. Step 4: Simplify right side
    830.63x = 551,739.87
  5. Step 5: Solve for x
    x = 551,739.87/830.63
  6. Step 6: Final answer
    x = 664.25

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Half scale
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Double scale
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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.