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Finding the Fourth Proportional to 866.74, 1,297.95 and 541.12

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Solution

The fourth proportional to 866.74, 1,297.95 and 541.12 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.74 : 1,297.95 = 541.12 : x
  2. Step 2: Convert to fraction form
    866.74/1,297.95 = 541.12/x
  3. Step 3: Cross multiply
    866.74x = 1,297.95 × 541.12
  4. Step 4: Simplify right side
    866.74x = 702,346.70
  5. Step 5: Solve for x
    x = 702,346.70/866.74
  6. Step 6: Final answer
    x = 810.33

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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.