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Finding the Fourth Proportional to 1,083.90, 1,496.81 and 864.47

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Solution

The fourth proportional to 1,083.90, 1,496.81 and 864.47 is: 1,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.90 : 1,496.81 = 864.47 : x
  2. Step 2: Convert to fraction form
    1,083.90/1,496.81 = 864.47/x
  3. Step 3: Cross multiply
    1,083.90x = 1,496.81 × 864.47
  4. Step 4: Simplify right side
    1,083.90x = 1,293,935.53
  5. Step 5: Solve for x
    x = 1,293,935.53/1,083.90
  6. Step 6: Final answer
    x = 1,193.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.