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Finding the Fourth Proportional to 837.33, 1,155.56 and 464.32

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Solution

The fourth proportional to 837.33, 1,155.56 and 464.32 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.33 : 1,155.56 = 464.32 : x
  2. Step 2: Convert to fraction form
    837.33/1,155.56 = 464.32/x
  3. Step 3: Cross multiply
    837.33x = 1,155.56 × 464.32
  4. Step 4: Simplify right side
    837.33x = 536,549.62
  5. Step 5: Solve for x
    x = 536,549.62/837.33
  6. Step 6: Final answer
    x = 640.79

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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.