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Finding the Fourth Proportional to 721.56, 995.84 and 456.13

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Solution

The fourth proportional to 721.56, 995.84 and 456.13 is: 629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.56 : 995.84 = 456.13 : x
  2. Step 2: Convert to fraction form
    721.56/995.84 = 456.13/x
  3. Step 3: Cross multiply
    721.56x = 995.84 × 456.13
  4. Step 4: Simplify right side
    721.56x = 454,235.74
  5. Step 5: Solve for x
    x = 454,235.74/721.56
  6. Step 6: Final answer
    x = 629.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.