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Finding the Fourth Proportional to 1,017.54, 1,523.34 and 952.61

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Solution

The fourth proportional to 1,017.54, 1,523.34 and 952.61 is: 1,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.54 : 1,523.34 = 952.61 : x
  2. Step 2: Convert to fraction form
    1,017.54/1,523.34 = 952.61/x
  3. Step 3: Cross multiply
    1,017.54x = 1,523.34 × 952.61
  4. Step 4: Simplify right side
    1,017.54x = 1,451,141.30
  5. Step 5: Solve for x
    x = 1,451,141.30/1,017.54
  6. Step 6: Final answer
    x = 1,426.13

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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.