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Finding the Fourth Proportional to 964.20, 1,331.31 and 591.69

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Solution

The fourth proportional to 964.20, 1,331.31 and 591.69 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.20 : 1,331.31 = 591.69 : x
  2. Step 2: Convert to fraction form
    964.20/1,331.31 = 591.69/x
  3. Step 3: Cross multiply
    964.20x = 1,331.31 × 591.69
  4. Step 4: Simplify right side
    964.20x = 787,722.81
  5. Step 5: Solve for x
    x = 787,722.81/964.20
  6. Step 6: Final answer
    x = 816.97

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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.