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Finding the Fourth Proportional to 989.11, 1,483.67 and 475.75

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Solution

The fourth proportional to 989.11, 1,483.67 and 475.75 is: 713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.11 : 1,483.67 = 475.75 : x
  2. Step 2: Convert to fraction form
    989.11/1,483.67 = 475.75/x
  3. Step 3: Cross multiply
    989.11x = 1,483.67 × 475.75
  4. Step 4: Simplify right side
    989.11x = 705,856.00
  5. Step 5: Solve for x
    x = 705,856.00/989.11
  6. Step 6: Final answer
    x = 713.63

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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.