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Finding the Fourth Proportional to 1,080.34, 1,620.72 and 350.14

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Solution

The fourth proportional to 1,080.34, 1,620.72 and 350.14 is: 525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.34 : 1,620.72 = 350.14 : x
  2. Step 2: Convert to fraction form
    1,080.34/1,620.72 = 350.14/x
  3. Step 3: Cross multiply
    1,080.34x = 1,620.72 × 350.14
  4. Step 4: Simplify right side
    1,080.34x = 567,478.90
  5. Step 5: Solve for x
    x = 567,478.90/1,080.34
  6. Step 6: Final answer
    x = 525.28

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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.