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Finding the Fourth Proportional to 736.21, 1,016 and 456.47

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Solution

The fourth proportional to 736.21, 1,016 and 456.47 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.21 : 1,016 = 456.47 : x
  2. Step 2: Convert to fraction form
    736.21/1,016 = 456.47/x
  3. Step 3: Cross multiply
    736.21x = 1,016 × 456.47
  4. Step 4: Simplify right side
    736.21x = 463,773.52
  5. Step 5: Solve for x
    x = 463,773.52/736.21
  6. Step 6: Final answer
    x = 629.95

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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.