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Finding the Fourth Proportional to 964.09, 1,453.64 and 883.09

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Solution

The fourth proportional to 964.09, 1,453.64 and 883.09 is: 1,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.09 : 1,453.64 = 883.09 : x
  2. Step 2: Convert to fraction form
    964.09/1,453.64 = 883.09/x
  3. Step 3: Cross multiply
    964.09x = 1,453.64 × 883.09
  4. Step 4: Simplify right side
    964.09x = 1,283,694.95
  5. Step 5: Solve for x
    x = 1,283,694.95/964.09
  6. Step 6: Final answer
    x = 1,331.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.