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Finding the Fourth Proportional to 989.30, 1,484.00 and 258.87

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Solution

The fourth proportional to 989.30, 1,484.00 and 258.87 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.30 : 1,484.00 = 258.87 : x
  2. Step 2: Convert to fraction form
    989.30/1,484.00 = 258.87/x
  3. Step 3: Cross multiply
    989.30x = 1,484.00 × 258.87
  4. Step 4: Simplify right side
    989.30x = 384,161.79
  5. Step 5: Solve for x
    x = 384,161.79/989.30
  6. Step 6: Final answer
    x = 388.32

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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.