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Finding the Fourth Proportional to 821.06, 1,231.60 and 458.14

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Solution

The fourth proportional to 821.06, 1,231.60 and 458.14 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.06 : 1,231.60 = 458.14 : x
  2. Step 2: Convert to fraction form
    821.06/1,231.60 = 458.14/x
  3. Step 3: Cross multiply
    821.06x = 1,231.60 × 458.14
  4. Step 4: Simplify right side
    821.06x = 564,245.22
  5. Step 5: Solve for x
    x = 564,245.22/821.06
  6. Step 6: Final answer
    x = 687.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.