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Finding the Fourth Proportional to 989.40, 1,484.31 and 527.46

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Solution

The fourth proportional to 989.40, 1,484.31 and 527.46 is: 791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.40 : 1,484.31 = 527.46 : x
  2. Step 2: Convert to fraction form
    989.40/1,484.31 = 527.46/x
  3. Step 3: Cross multiply
    989.40x = 1,484.31 × 527.46
  4. Step 4: Simplify right side
    989.40x = 782,914.15
  5. Step 5: Solve for x
    x = 782,914.15/989.40
  6. Step 6: Final answer
    x = 791.30

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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.