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Finding the Fourth Proportional to 989.75, 1,484.87 and 305.75

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Solution

The fourth proportional to 989.75, 1,484.87 and 305.75 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.75 : 1,484.87 = 305.75 : x
  2. Step 2: Convert to fraction form
    989.75/1,484.87 = 305.75/x
  3. Step 3: Cross multiply
    989.75x = 1,484.87 × 305.75
  4. Step 4: Simplify right side
    989.75x = 453,997.47
  5. Step 5: Solve for x
    x = 453,997.47/989.75
  6. Step 6: Final answer
    x = 458.70

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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.