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Finding the Fourth Proportional to 1,332.56, 1,996.64 and 810.99

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Solution

The fourth proportional to 1,332.56, 1,996.64 and 810.99 is: 1,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.56 : 1,996.64 = 810.99 : x
  2. Step 2: Convert to fraction form
    1,332.56/1,996.64 = 810.99/x
  3. Step 3: Cross multiply
    1,332.56x = 1,996.64 × 810.99
  4. Step 4: Simplify right side
    1,332.56x = 1,619,247.30
  5. Step 5: Solve for x
    x = 1,619,247.30/1,332.56
  6. Step 6: Final answer
    x = 1,215.14

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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.