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Finding the Fourth Proportional to 963.56, 1,329.72 and 521.46

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Solution

The fourth proportional to 963.56, 1,329.72 and 521.46 is: 719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.56 : 1,329.72 = 521.46 : x
  2. Step 2: Convert to fraction form
    963.56/1,329.72 = 521.46/x
  3. Step 3: Cross multiply
    963.56x = 1,329.72 × 521.46
  4. Step 4: Simplify right side
    963.56x = 693,400.78
  5. Step 5: Solve for x
    x = 693,400.78/963.56
  6. Step 6: Final answer
    x = 719.62

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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.