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Finding the Fourth Proportional to 963.12, 1,443.84 and 475.68

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Solution

The fourth proportional to 963.12, 1,443.84 and 475.68 is: 713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.12 : 1,443.84 = 475.68 : x
  2. Step 2: Convert to fraction form
    963.12/1,443.84 = 475.68/x
  3. Step 3: Cross multiply
    963.12x = 1,443.84 × 475.68
  4. Step 4: Simplify right side
    963.12x = 686,805.81
  5. Step 5: Solve for x
    x = 686,805.81/963.12
  6. Step 6: Final answer
    x = 713.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.