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Finding the Fourth Proportional to 989.63, 1,483.96 and 527.64

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Solution

The fourth proportional to 989.63, 1,483.96 and 527.64 is: 791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.63 : 1,483.96 = 527.64 : x
  2. Step 2: Convert to fraction form
    989.63/1,483.96 = 527.64/x
  3. Step 3: Cross multiply
    989.63x = 1,483.96 × 527.64
  4. Step 4: Simplify right side
    989.63x = 782,996.65
  5. Step 5: Solve for x
    x = 782,996.65/989.63
  6. Step 6: Final answer
    x = 791.20

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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.