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Finding the Fourth Proportional to 1,101.20, 1,652.00 and 370.85

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Solution

The fourth proportional to 1,101.20, 1,652.00 and 370.85 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.20 : 1,652.00 = 370.85 : x
  2. Step 2: Convert to fraction form
    1,101.20/1,652.00 = 370.85/x
  3. Step 3: Cross multiply
    1,101.20x = 1,652.00 × 370.85
  4. Step 4: Simplify right side
    1,101.20x = 612,634.09
  5. Step 5: Solve for x
    x = 612,634.09/1,101.20
  6. Step 6: Final answer
    x = 556.34

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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.