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Finding the Fourth Proportional to 817.74, 1,226.70 and 355.39

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Solution

The fourth proportional to 817.74, 1,226.70 and 355.39 is: 533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.74 : 1,226.70 = 355.39 : x
  2. Step 2: Convert to fraction form
    817.74/1,226.70 = 355.39/x
  3. Step 3: Cross multiply
    817.74x = 1,226.70 × 355.39
  4. Step 4: Simplify right side
    817.74x = 435,949.00
  5. Step 5: Solve for x
    x = 435,949.00/817.74
  6. Step 6: Final answer
    x = 533.11

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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.