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Finding the Fourth Proportional to 1,311.15, 1,809.89 and 869.67

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Solution

The fourth proportional to 1,311.15, 1,809.89 and 869.67 is: 1,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.15 : 1,809.89 = 869.67 : x
  2. Step 2: Convert to fraction form
    1,311.15/1,809.89 = 869.67/x
  3. Step 3: Cross multiply
    1,311.15x = 1,809.89 × 869.67
  4. Step 4: Simplify right side
    1,311.15x = 1,574,002.69
  5. Step 5: Solve for x
    x = 1,574,002.69/1,311.15
  6. Step 6: Final answer
    x = 1,200.47

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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.