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Finding the Fourth Proportional to 1,141.39, 1,713.71 and 869.23

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Solution

The fourth proportional to 1,141.39, 1,713.71 and 869.23 is: 1,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.39 : 1,713.71 = 869.23 : x
  2. Step 2: Convert to fraction form
    1,141.39/1,713.71 = 869.23/x
  3. Step 3: Cross multiply
    1,141.39x = 1,713.71 × 869.23
  4. Step 4: Simplify right side
    1,141.39x = 1,489,608.14
  5. Step 5: Solve for x
    x = 1,489,608.14/1,141.39
  6. Step 6: Final answer
    x = 1,305.08

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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.