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Finding the Fourth Proportional to 964.20, 1,327.78 and 942.72

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Solution

The fourth proportional to 964.20, 1,327.78 and 942.72 is: 1,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.20 : 1,327.78 = 942.72 : x
  2. Step 2: Convert to fraction form
    964.20/1,327.78 = 942.72/x
  3. Step 3: Cross multiply
    964.20x = 1,327.78 × 942.72
  4. Step 4: Simplify right side
    964.20x = 1,251,724.76
  5. Step 5: Solve for x
    x = 1,251,724.76/964.20
  6. Step 6: Final answer
    x = 1,298.20

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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.