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Finding the Fourth Proportional to 1,100.96, 1,644.16 and 980

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Solution

The fourth proportional to 1,100.96, 1,644.16 and 980 is: 1,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,644.16 = 980 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,644.16 = 980/x
  3. Step 3: Cross multiply
    1,100.96x = 1,644.16 × 980
  4. Step 4: Simplify right side
    1,100.96x = 1,611,276.80
  5. Step 5: Solve for x
    x = 1,611,276.80/1,100.96
  6. Step 6: Final answer
    x = 1,463.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.