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Finding the Fourth Proportional to 964.82, 1,322.78 and 947.32

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Solution

The fourth proportional to 964.82, 1,322.78 and 947.32 is: 1,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.82 : 1,322.78 = 947.32 : x
  2. Step 2: Convert to fraction form
    964.82/1,322.78 = 947.32/x
  3. Step 3: Cross multiply
    964.82x = 1,322.78 × 947.32
  4. Step 4: Simplify right side
    964.82x = 1,253,095.95
  5. Step 5: Solve for x
    x = 1,253,095.95/964.82
  6. Step 6: Final answer
    x = 1,298.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.