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Finding the Fourth Proportional to 844.80, 1,267.68 and 455.10

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Solution

The fourth proportional to 844.80, 1,267.68 and 455.10 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,267.68 = 455.10 : x
  2. Step 2: Convert to fraction form
    844.80/1,267.68 = 455.10/x
  3. Step 3: Cross multiply
    844.80x = 1,267.68 × 455.10
  4. Step 4: Simplify right side
    844.80x = 576,921.17
  5. Step 5: Solve for x
    x = 576,921.17/844.80
  6. Step 6: Final answer
    x = 682.91

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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.