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Finding the Fourth Proportional to 1,101.01, 1,651.03 and 553.09

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Solution

The fourth proportional to 1,101.01, 1,651.03 and 553.09 is: 829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.01 : 1,651.03 = 553.09 : x
  2. Step 2: Convert to fraction form
    1,101.01/1,651.03 = 553.09/x
  3. Step 3: Cross multiply
    1,101.01x = 1,651.03 × 553.09
  4. Step 4: Simplify right side
    1,101.01x = 913,168.18
  5. Step 5: Solve for x
    x = 913,168.18/1,101.01
  6. Step 6: Final answer
    x = 829.39

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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.