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Finding the Fourth Proportional to 964.33, 1,330.76 and 522.22

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Solution

The fourth proportional to 964.33, 1,330.76 and 522.22 is: 720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.33 : 1,330.76 = 522.22 : x
  2. Step 2: Convert to fraction form
    964.33/1,330.76 = 522.22/x
  3. Step 3: Cross multiply
    964.33x = 1,330.76 × 522.22
  4. Step 4: Simplify right side
    964.33x = 694,952.46
  5. Step 5: Solve for x
    x = 694,952.46/964.33
  6. Step 6: Final answer
    x = 720.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.