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Finding the Fourth Proportional to 1,080.13, 1,490.75 and 817.69

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Solution

The fourth proportional to 1,080.13, 1,490.75 and 817.69 is: 1,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.13 : 1,490.75 = 817.69 : x
  2. Step 2: Convert to fraction form
    1,080.13/1,490.75 = 817.69/x
  3. Step 3: Cross multiply
    1,080.13x = 1,490.75 × 817.69
  4. Step 4: Simplify right side
    1,080.13x = 1,218,965.96
  5. Step 5: Solve for x
    x = 1,218,965.96/1,080.13
  6. Step 6: Final answer
    x = 1,128.54

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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.