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Finding the Fourth Proportional to 837.29, 1,155.42 and 464.24

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Solution

The fourth proportional to 837.29, 1,155.42 and 464.24 is: 640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.29 : 1,155.42 = 464.24 : x
  2. Step 2: Convert to fraction form
    837.29/1,155.42 = 464.24/x
  3. Step 3: Cross multiply
    837.29x = 1,155.42 × 464.24
  4. Step 4: Simplify right side
    837.29x = 536,392.18
  5. Step 5: Solve for x
    x = 536,392.18/837.29
  6. Step 6: Final answer
    x = 640.63

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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.