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Finding the Fourth Proportional to 837.19, 1,155.34 and 459.12

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Solution

The fourth proportional to 837.19, 1,155.34 and 459.12 is: 633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.19 : 1,155.34 = 459.12 : x
  2. Step 2: Convert to fraction form
    837.19/1,155.34 = 459.12/x
  3. Step 3: Cross multiply
    837.19x = 1,155.34 × 459.12
  4. Step 4: Simplify right side
    837.19x = 530,435.09
  5. Step 5: Solve for x
    x = 530,435.09/837.19
  6. Step 6: Final answer
    x = 633.59

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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.