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Finding the Fourth Proportional to 1,311.64, 1,965.52 and 661.48

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Solution

The fourth proportional to 1,311.64, 1,965.52 and 661.48 is: 991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.64 : 1,965.52 = 661.48 : x
  2. Step 2: Convert to fraction form
    1,311.64/1,965.52 = 661.48/x
  3. Step 3: Cross multiply
    1,311.64x = 1,965.52 × 661.48
  4. Step 4: Simplify right side
    1,311.64x = 1,300,152.17
  5. Step 5: Solve for x
    x = 1,300,152.17/1,311.64
  6. Step 6: Final answer
    x = 991.24

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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.