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Finding the Fourth Proportional to 865.22, 1,291.56 and 800.99

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Solution

The fourth proportional to 865.22, 1,291.56 and 800.99 is: 1,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,291.56 = 800.99 : x
  2. Step 2: Convert to fraction form
    865.22/1,291.56 = 800.99/x
  3. Step 3: Cross multiply
    865.22x = 1,291.56 × 800.99
  4. Step 4: Simplify right side
    865.22x = 1,034,520.19
  5. Step 5: Solve for x
    x = 1,034,520.19/865.22
  6. Step 6: Final answer
    x = 1,195.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.