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Finding the Fourth Proportional to 1,238.32, 1,705.44 and 957.52

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Solution

The fourth proportional to 1,238.32, 1,705.44 and 957.52 is: 1,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.32 : 1,705.44 = 957.52 : x
  2. Step 2: Convert to fraction form
    1,238.32/1,705.44 = 957.52/x
  3. Step 3: Cross multiply
    1,238.32x = 1,705.44 × 957.52
  4. Step 4: Simplify right side
    1,238.32x = 1,632,992.91
  5. Step 5: Solve for x
    x = 1,632,992.91/1,238.32
  6. Step 6: Final answer
    x = 1,318.72

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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.