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Finding the Fourth Proportional to 837.46, 1,155.69 and 464.44

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Solution

The fourth proportional to 837.46, 1,155.69 and 464.44 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.46 : 1,155.69 = 464.44 : x
  2. Step 2: Convert to fraction form
    837.46/1,155.69 = 464.44/x
  3. Step 3: Cross multiply
    837.46x = 1,155.69 × 464.44
  4. Step 4: Simplify right side
    837.46x = 536,748.66
  5. Step 5: Solve for x
    x = 536,748.66/837.46
  6. Step 6: Final answer
    x = 640.93

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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.