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Finding the Fourth Proportional to 1,052.51, 1,454.02 and 817.40

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Solution

The fourth proportional to 1,052.51, 1,454.02 and 817.40 is: 1,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.51 : 1,454.02 = 817.40 : x
  2. Step 2: Convert to fraction form
    1,052.51/1,454.02 = 817.40/x
  3. Step 3: Cross multiply
    1,052.51x = 1,454.02 × 817.40
  4. Step 4: Simplify right side
    1,052.51x = 1,188,517.54
  5. Step 5: Solve for x
    x = 1,188,517.54/1,052.51
  6. Step 6: Final answer
    x = 1,129.23

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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.