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Finding the Fourth Proportional to 1,019.17, 1,532.17 and 815.96

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Solution

The fourth proportional to 1,019.17, 1,532.17 and 815.96 is: 1,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.17 : 1,532.17 = 815.96 : x
  2. Step 2: Convert to fraction form
    1,019.17/1,532.17 = 815.96/x
  3. Step 3: Cross multiply
    1,019.17x = 1,532.17 × 815.96
  4. Step 4: Simplify right side
    1,019.17x = 1,250,189.43
  5. Step 5: Solve for x
    x = 1,250,189.43/1,019.17
  6. Step 6: Final answer
    x = 1,226.67

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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.