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Finding the Fourth Proportional to 989.62, 1,484.43 and 259.17

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Solution

The fourth proportional to 989.62, 1,484.43 and 259.17 is: 388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.62 : 1,484.43 = 259.17 : x
  2. Step 2: Convert to fraction form
    989.62/1,484.43 = 259.17/x
  3. Step 3: Cross multiply
    989.62x = 1,484.43 × 259.17
  4. Step 4: Simplify right side
    989.62x = 384,725.71
  5. Step 5: Solve for x
    x = 384,725.71/989.62
  6. Step 6: Final answer
    x = 388.76

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