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Finding the Fourth Proportional to 1,272.73, 1,905.03 and 830.45

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Solution

The fourth proportional to 1,272.73, 1,905.03 and 830.45 is: 1,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.73 : 1,905.03 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,272.73/1,905.03 = 830.45/x
  3. Step 3: Cross multiply
    1,272.73x = 1,905.03 × 830.45
  4. Step 4: Simplify right side
    1,272.73x = 1,582,032.16
  5. Step 5: Solve for x
    x = 1,582,032.16/1,272.73
  6. Step 6: Final answer
    x = 1,243.02

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