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Finding the Fourth Proportional to 725.76, 998.28 and 585

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Solution

The fourth proportional to 725.76, 998.28 and 585 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.76 : 998.28 = 585 : x
  2. Step 2: Convert to fraction form
    725.76/998.28 = 585/x
  3. Step 3: Cross multiply
    725.76x = 998.28 × 585
  4. Step 4: Simplify right side
    725.76x = 583,993.80
  5. Step 5: Solve for x
    x = 583,993.80/725.76
  6. Step 6: Final answer
    x = 804.67

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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.