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Finding the Fourth Proportional to 989.75, 1,484.64 and 259.40

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Solution

The fourth proportional to 989.75, 1,484.64 and 259.40 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.75 : 1,484.64 = 259.40 : x
  2. Step 2: Convert to fraction form
    989.75/1,484.64 = 259.40/x
  3. Step 3: Cross multiply
    989.75x = 1,484.64 × 259.40
  4. Step 4: Simplify right side
    989.75x = 385,119.33
  5. Step 5: Solve for x
    x = 385,119.33/989.75
  6. Step 6: Final answer
    x = 389.11

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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.