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Finding the Fourth Proportional to 964.53, 1,331.06 and 522.43

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Solution

The fourth proportional to 964.53, 1,331.06 and 522.43 is: 720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.53 : 1,331.06 = 522.43 : x
  2. Step 2: Convert to fraction form
    964.53/1,331.06 = 522.43/x
  3. Step 3: Cross multiply
    964.53x = 1,331.06 × 522.43
  4. Step 4: Simplify right side
    964.53x = 695,379.74
  5. Step 5: Solve for x
    x = 695,379.74/964.53
  6. Step 6: Final answer
    x = 720.95

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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.