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Finding the Fourth Proportional to 964.84, 1,331.46 and 522.74

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Solution

The fourth proportional to 964.84, 1,331.46 and 522.74 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.84 : 1,331.46 = 522.74 : x
  2. Step 2: Convert to fraction form
    964.84/1,331.46 = 522.74/x
  3. Step 3: Cross multiply
    964.84x = 1,331.46 × 522.74
  4. Step 4: Simplify right side
    964.84x = 696,007.40
  5. Step 5: Solve for x
    x = 696,007.40/964.84
  6. Step 6: Final answer
    x = 721.37

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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.