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Finding the Fourth Proportional to 1,089.60, 1,630.08 and 994.56

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Solution

The fourth proportional to 1,089.60, 1,630.08 and 994.56 is: 1,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.60 : 1,630.08 = 994.56 : x
  2. Step 2: Convert to fraction form
    1,089.60/1,630.08 = 994.56/x
  3. Step 3: Cross multiply
    1,089.60x = 1,630.08 × 994.56
  4. Step 4: Simplify right side
    1,089.60x = 1,621,212.36
  5. Step 5: Solve for x
    x = 1,621,212.36/1,089.60
  6. Step 6: Final answer
    x = 1,487.90

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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.