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Finding the Fourth Proportional to 1,100.24, 1,648.20 and 551.60

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Solution

The fourth proportional to 1,100.24, 1,648.20 and 551.60 is: 826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.24 : 1,648.20 = 551.60 : x
  2. Step 2: Convert to fraction form
    1,100.24/1,648.20 = 551.60/x
  3. Step 3: Cross multiply
    1,100.24x = 1,648.20 × 551.60
  4. Step 4: Simplify right side
    1,100.24x = 909,147.12
  5. Step 5: Solve for x
    x = 909,147.12/1,100.24
  6. Step 6: Final answer
    x = 826.32

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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.