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Finding the Fourth Proportional to 1,332.67, 1,998.27 and 864.09

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Solution

The fourth proportional to 1,332.67, 1,998.27 and 864.09 is: 1,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.67 : 1,998.27 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,332.67/1,998.27 = 864.09/x
  3. Step 3: Cross multiply
    1,332.67x = 1,998.27 × 864.09
  4. Step 4: Simplify right side
    1,332.67x = 1,726,685.12
  5. Step 5: Solve for x
    x = 1,726,685.12/1,332.67
  6. Step 6: Final answer
    x = 1,295.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.