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Finding the Fourth Proportional to 1,120.20, 1,679.61 and 417.12

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Solution

The fourth proportional to 1,120.20, 1,679.61 and 417.12 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.20 : 1,679.61 = 417.12 : x
  2. Step 2: Convert to fraction form
    1,120.20/1,679.61 = 417.12/x
  3. Step 3: Cross multiply
    1,120.20x = 1,679.61 × 417.12
  4. Step 4: Simplify right side
    1,120.20x = 700,598.92
  5. Step 5: Solve for x
    x = 700,598.92/1,120.20
  6. Step 6: Final answer
    x = 625.42

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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.