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Finding the Fourth Proportional to 964.25, 1,331.31 and 596.89

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Solution

The fourth proportional to 964.25, 1,331.31 and 596.89 is: 824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,331.31 = 596.89 : x
  2. Step 2: Convert to fraction form
    964.25/1,331.31 = 596.89/x
  3. Step 3: Cross multiply
    964.25x = 1,331.31 × 596.89
  4. Step 4: Simplify right side
    964.25x = 794,642.64
  5. Step 5: Solve for x
    x = 794,642.64/964.25
  6. Step 6: Final answer
    x = 824.10

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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.