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Finding the Fourth Proportional to 837.12, 1,155.24 and 464.10

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Solution

The fourth proportional to 837.12, 1,155.24 and 464.10 is: 640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,155.24 = 464.10 : x
  2. Step 2: Convert to fraction form
    837.12/1,155.24 = 464.10/x
  3. Step 3: Cross multiply
    837.12x = 1,155.24 × 464.10
  4. Step 4: Simplify right side
    837.12x = 536,146.88
  5. Step 5: Solve for x
    x = 536,146.88/837.12
  6. Step 6: Final answer
    x = 640.47

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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.