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Finding the Fourth Proportional to 964.97, 1,331.35 and 591.76

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Solution

The fourth proportional to 964.97, 1,331.35 and 591.76 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.97 : 1,331.35 = 591.76 : x
  2. Step 2: Convert to fraction form
    964.97/1,331.35 = 591.76/x
  3. Step 3: Cross multiply
    964.97x = 1,331.35 × 591.76
  4. Step 4: Simplify right side
    964.97x = 787,839.86
  5. Step 5: Solve for x
    x = 787,839.86/964.97
  6. Step 6: Final answer
    x = 816.44

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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.