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Finding the Fourth Proportional to 837.77, 1,257.57 and 351.18

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Solution

The fourth proportional to 837.77, 1,257.57 and 351.18 is: 527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.77 : 1,257.57 = 351.18 : x
  2. Step 2: Convert to fraction form
    837.77/1,257.57 = 351.18/x
  3. Step 3: Cross multiply
    837.77x = 1,257.57 × 351.18
  4. Step 4: Simplify right side
    837.77x = 441,633.43
  5. Step 5: Solve for x
    x = 441,633.43/837.77
  6. Step 6: Final answer
    x = 527.16

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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.