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Finding the Fourth Proportional to 843.04, 1,263.60 and 409.20

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Solution

The fourth proportional to 843.04, 1,263.60 and 409.20 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.04 : 1,263.60 = 409.20 : x
  2. Step 2: Convert to fraction form
    843.04/1,263.60 = 409.20/x
  3. Step 3: Cross multiply
    843.04x = 1,263.60 × 409.20
  4. Step 4: Simplify right side
    843.04x = 517,065.12
  5. Step 5: Solve for x
    x = 517,065.12/843.04
  6. Step 6: Final answer
    x = 613.33

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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.