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Finding the Fourth Proportional to 736.73, 1,016.42 and 442.08

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Solution

The fourth proportional to 736.73, 1,016.42 and 442.08 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.73 : 1,016.42 = 442.08 : x
  2. Step 2: Convert to fraction form
    736.73/1,016.42 = 442.08/x
  3. Step 3: Cross multiply
    736.73x = 1,016.42 × 442.08
  4. Step 4: Simplify right side
    736.73x = 449,336.74
  5. Step 5: Solve for x
    x = 449,336.74/736.73
  6. Step 6: Final answer
    x = 609.91

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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.