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Finding the Fourth Proportional to 1,080.16, 1,619.84 and 386.64

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Solution

The fourth proportional to 1,080.16, 1,619.84 and 386.64 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.16 : 1,619.84 = 386.64 : x
  2. Step 2: Convert to fraction form
    1,080.16/1,619.84 = 386.64/x
  3. Step 3: Cross multiply
    1,080.16x = 1,619.84 × 386.64
  4. Step 4: Simplify right side
    1,080.16x = 626,294.94
  5. Step 5: Solve for x
    x = 626,294.94/1,080.16
  6. Step 6: Final answer
    x = 579.82

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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.