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Finding the Fourth Proportional to 1,100.20, 1,649.76 and 551.56

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Solution

The fourth proportional to 1,100.20, 1,649.76 and 551.56 is: 827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.20 : 1,649.76 = 551.56 : x
  2. Step 2: Convert to fraction form
    1,100.20/1,649.76 = 551.56/x
  3. Step 3: Cross multiply
    1,100.20x = 1,649.76 × 551.56
  4. Step 4: Simplify right side
    1,100.20x = 909,941.63
  5. Step 5: Solve for x
    x = 909,941.63/1,100.20
  6. Step 6: Final answer
    x = 827.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.