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Finding the Fourth Proportional to 1,052.17, 1,451.97 and 659.41

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Solution

The fourth proportional to 1,052.17, 1,451.97 and 659.41 is: 909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.17 : 1,451.97 = 659.41 : x
  2. Step 2: Convert to fraction form
    1,052.17/1,451.97 = 659.41/x
  3. Step 3: Cross multiply
    1,052.17x = 1,451.97 × 659.41
  4. Step 4: Simplify right side
    1,052.17x = 957,439.91
  5. Step 5: Solve for x
    x = 957,439.91/1,052.17
  6. Step 6: Final answer
    x = 909.97

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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.