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Finding the Fourth Proportional to 1,054.97, 1,578.79 and 867.63

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Solution

The fourth proportional to 1,054.97, 1,578.79 and 867.63 is: 1,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.97 : 1,578.79 = 867.63 : x
  2. Step 2: Convert to fraction form
    1,054.97/1,578.79 = 867.63/x
  3. Step 3: Cross multiply
    1,054.97x = 1,578.79 × 867.63
  4. Step 4: Simplify right side
    1,054.97x = 1,369,812.57
  5. Step 5: Solve for x
    x = 1,369,812.57/1,054.97
  6. Step 6: Final answer
    x = 1,298.44

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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.