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Finding the Fourth Proportional to 725.13, 999.63 and 476.37

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Solution

The fourth proportional to 725.13, 999.63 and 476.37 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 999.63 = 476.37 : x
  2. Step 2: Convert to fraction form
    725.13/999.63 = 476.37/x
  3. Step 3: Cross multiply
    725.13x = 999.63 × 476.37
  4. Step 4: Simplify right side
    725.13x = 476,193.74
  5. Step 5: Solve for x
    x = 476,193.74/725.13
  6. Step 6: Final answer
    x = 656.70

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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.