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Finding the Fourth Proportional to 837.08, 1,155.17 and 464.08

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Solution

The fourth proportional to 837.08, 1,155.17 and 464.08 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.08 : 1,155.17 = 464.08 : x
  2. Step 2: Convert to fraction form
    837.08/1,155.17 = 464.08/x
  3. Step 3: Cross multiply
    837.08x = 1,155.17 × 464.08
  4. Step 4: Simplify right side
    837.08x = 536,091.29
  5. Step 5: Solve for x
    x = 536,091.29/837.08
  6. Step 6: Final answer
    x = 640.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.