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Finding the Fourth Proportional to 964.95, 1,331.63 and 522.85

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Solution

The fourth proportional to 964.95, 1,331.63 and 522.85 is: 721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.95 : 1,331.63 = 522.85 : x
  2. Step 2: Convert to fraction form
    964.95/1,331.63 = 522.85/x
  3. Step 3: Cross multiply
    964.95x = 1,331.63 × 522.85
  4. Step 4: Simplify right side
    964.95x = 696,243.44
  5. Step 5: Solve for x
    x = 696,243.44/964.95
  6. Step 6: Final answer
    x = 721.53

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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.