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Finding the Fourth Proportional to 1,314.73, 1,815.30 and 922.28

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Solution

The fourth proportional to 1,314.73, 1,815.30 and 922.28 is: 1,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.73 : 1,815.30 = 922.28 : x
  2. Step 2: Convert to fraction form
    1,314.73/1,815.30 = 922.28/x
  3. Step 3: Cross multiply
    1,314.73x = 1,815.30 × 922.28
  4. Step 4: Simplify right side
    1,314.73x = 1,674,210.27
  5. Step 5: Solve for x
    x = 1,674,210.27/1,314.73
  6. Step 6: Final answer
    x = 1,273.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.