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Finding the Fourth Proportional to 989.52, 1,484.26 and 305.52

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Solution

The fourth proportional to 989.52, 1,484.26 and 305.52 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.52 : 1,484.26 = 305.52 : x
  2. Step 2: Convert to fraction form
    989.52/1,484.26 = 305.52/x
  3. Step 3: Cross multiply
    989.52x = 1,484.26 × 305.52
  4. Step 4: Simplify right side
    989.52x = 453,471.12
  5. Step 5: Solve for x
    x = 453,471.12/989.52
  6. Step 6: Final answer
    x = 458.27

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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.