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Finding the Fourth Proportional to 1,288.36, 1,928.66 and 962.92

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Solution

The fourth proportional to 1,288.36, 1,928.66 and 962.92 is: 1,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.36 : 1,928.66 = 962.92 : x
  2. Step 2: Convert to fraction form
    1,288.36/1,928.66 = 962.92/x
  3. Step 3: Cross multiply
    1,288.36x = 1,928.66 × 962.92
  4. Step 4: Simplify right side
    1,288.36x = 1,857,145.29
  5. Step 5: Solve for x
    x = 1,857,145.29/1,288.36
  6. Step 6: Final answer
    x = 1,441.48

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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.