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Finding the Fourth Proportional to 830.66, 1,146.04 and 481.36

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Solution

The fourth proportional to 830.66, 1,146.04 and 481.36 is: 664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.66 : 1,146.04 = 481.36 : x
  2. Step 2: Convert to fraction form
    830.66/1,146.04 = 481.36/x
  3. Step 3: Cross multiply
    830.66x = 1,146.04 × 481.36
  4. Step 4: Simplify right side
    830.66x = 551,657.81
  5. Step 5: Solve for x
    x = 551,657.81/830.66
  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.