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Finding the Fourth Proportional to 1,120.92, 1,681.20 and 351.60

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Solution

The fourth proportional to 1,120.92, 1,681.20 and 351.60 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.92 : 1,681.20 = 351.60 : x
  2. Step 2: Convert to fraction form
    1,120.92/1,681.20 = 351.60/x
  3. Step 3: Cross multiply
    1,120.92x = 1,681.20 × 351.60
  4. Step 4: Simplify right side
    1,120.92x = 591,109.92
  5. Step 5: Solve for x
    x = 591,109.92/1,120.92
  6. Step 6: Final answer
    x = 527.34

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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.