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Finding the Fourth Proportional to 964.11, 1,339.45 and 952.59

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Solution

The fourth proportional to 964.11, 1,339.45 and 952.59 is: 1,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.11 : 1,339.45 = 952.59 : x
  2. Step 2: Convert to fraction form
    964.11/1,339.45 = 952.59/x
  3. Step 3: Cross multiply
    964.11x = 1,339.45 × 952.59
  4. Step 4: Simplify right side
    964.11x = 1,275,946.68
  5. Step 5: Solve for x
    x = 1,275,946.68/964.11
  6. Step 6: Final answer
    x = 1,323.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.