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Finding the Fourth Proportional to 1,480.24, 2,042.68 and 817.08

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Solution

The fourth proportional to 1,480.24, 2,042.68 and 817.08 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.24 : 2,042.68 = 817.08 : x
  2. Step 2: Convert to fraction form
    1,480.24/2,042.68 = 817.08/x
  3. Step 3: Cross multiply
    1,480.24x = 2,042.68 × 817.08
  4. Step 4: Simplify right side
    1,480.24x = 1,669,032.97
  5. Step 5: Solve for x
    x = 1,669,032.97/1,480.24
  6. Step 6: Final answer
    x = 1,127.54

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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.