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Finding the Fourth Proportional to 964.46, 1,330.95 and 522.37

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Solution

The fourth proportional to 964.46, 1,330.95 and 522.37 is: 720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.46 : 1,330.95 = 522.37 : x
  2. Step 2: Convert to fraction form
    964.46/1,330.95 = 522.37/x
  3. Step 3: Cross multiply
    964.46x = 1,330.95 × 522.37
  4. Step 4: Simplify right side
    964.46x = 695,241.55
  5. Step 5: Solve for x
    x = 695,241.55/964.46
  6. Step 6: Final answer
    x = 720.86

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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.