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Finding the Fourth Proportional to 1,165.76, 1,749.24 and 800.84

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Solution

The fourth proportional to 1,165.76, 1,749.24 and 800.84 is: 1,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.76 : 1,749.24 = 800.84 : x
  2. Step 2: Convert to fraction form
    1,165.76/1,749.24 = 800.84/x
  3. Step 3: Cross multiply
    1,165.76x = 1,749.24 × 800.84
  4. Step 4: Simplify right side
    1,165.76x = 1,400,861.36
  5. Step 5: Solve for x
    x = 1,400,861.36/1,165.76
  6. Step 6: Final answer
    x = 1,201.67

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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.