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Finding the Fourth Proportional to 1,332.82, 1,999.31 and 455.43

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Solution

The fourth proportional to 1,332.82, 1,999.31 and 455.43 is: 683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.82 : 1,999.31 = 455.43 : x
  2. Step 2: Convert to fraction form
    1,332.82/1,999.31 = 455.43/x
  3. Step 3: Cross multiply
    1,332.82x = 1,999.31 × 455.43
  4. Step 4: Simplify right side
    1,332.82x = 910,550.97
  5. Step 5: Solve for x
    x = 910,550.97/1,332.82
  6. Step 6: Final answer
    x = 683.18

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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.