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Finding the Fourth Proportional to 1,257.94, 1,735.23 and 864.28

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Solution

The fourth proportional to 1,257.94, 1,735.23 and 864.28 is: 1,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.94 : 1,735.23 = 864.28 : x
  2. Step 2: Convert to fraction form
    1,257.94/1,735.23 = 864.28/x
  3. Step 3: Cross multiply
    1,257.94x = 1,735.23 × 864.28
  4. Step 4: Simplify right side
    1,257.94x = 1,499,724.58
  5. Step 5: Solve for x
    x = 1,499,724.58/1,257.94
  6. Step 6: Final answer
    x = 1,192.21

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