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Finding the Fourth Proportional to 1,311.20, 1,966.84 and 661.56

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Solution

The fourth proportional to 1,311.20, 1,966.84 and 661.56 is: 992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.20 : 1,966.84 = 661.56 : x
  2. Step 2: Convert to fraction form
    1,311.20/1,966.84 = 661.56/x
  3. Step 3: Cross multiply
    1,311.20x = 1,966.84 × 661.56
  4. Step 4: Simplify right side
    1,311.20x = 1,301,182.67
  5. Step 5: Solve for x
    x = 1,301,182.67/1,311.20
  6. Step 6: Final answer
    x = 992.36

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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.