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Finding the Fourth Proportional to 964.37, 1,330.83 and 522.28

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Solution

The fourth proportional to 964.37, 1,330.83 and 522.28 is: 720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.37 : 1,330.83 = 522.28 : x
  2. Step 2: Convert to fraction form
    964.37/1,330.83 = 522.28/x
  3. Step 3: Cross multiply
    964.37x = 1,330.83 × 522.28
  4. Step 4: Simplify right side
    964.37x = 695,065.89
  5. Step 5: Solve for x
    x = 695,065.89/964.37
  6. Step 6: Final answer
    x = 720.75

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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.