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Finding the Fourth Proportional to 1,080.24, 1,621.12 and 431.12

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Solution

The fourth proportional to 1,080.24, 1,621.12 and 431.12 is: 646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.24 : 1,621.12 = 431.12 : x
  2. Step 2: Convert to fraction form
    1,080.24/1,621.12 = 431.12/x
  3. Step 3: Cross multiply
    1,080.24x = 1,621.12 × 431.12
  4. Step 4: Simplify right side
    1,080.24x = 698,897.25
  5. Step 5: Solve for x
    x = 698,897.25/1,080.24
  6. Step 6: Final answer
    x = 646.98

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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.