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Finding the Fourth Proportional to 712.15, 1,068.01 and 273.37

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Solution

The fourth proportional to 712.15, 1,068.01 and 273.37 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 1,068.01 = 273.37 : x
  2. Step 2: Convert to fraction form
    712.15/1,068.01 = 273.37/x
  3. Step 3: Cross multiply
    712.15x = 1,068.01 × 273.37
  4. Step 4: Simplify right side
    712.15x = 291,956.90
  5. Step 5: Solve for x
    x = 291,956.90/712.15
  6. Step 6: Final answer
    x = 409.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.